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Finding the Fourth Proportional to 523,409.40, 785,114.10 and 129,425.40

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Solution

The fourth proportional to 523,409.40, 785,114.10 and 129,425.40 is: 194,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,409.40 : 785,114.10 = 129,425.40 : x
  2. Step 2: Convert to fraction form
    523,409.40/785,114.10 = 129,425.40/x
  3. Step 3: Cross multiply
    523,409.40x = 785,114.10 × 129,425.40
  4. Step 4: Simplify right side
    523,409.40x = 101,613,706,438.14
  5. Step 5: Solve for x
    x = 101,613,706,438.14/523,409.40
  6. Step 6: Final answer
    x = 194,138.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.