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Finding the Fourth Proportional to 256,358.40, 384,538.54 and 78,864.18

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Solution

The fourth proportional to 256,358.40, 384,538.54 and 78,864.18 is: 118,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,358.40 : 384,538.54 = 78,864.18 : x
  2. Step 2: Convert to fraction form
    256,358.40/384,538.54 = 78,864.18/x
  3. Step 3: Cross multiply
    256,358.40x = 384,538.54 × 78,864.18
  4. Step 4: Simplify right side
    256,358.40x = 30,326,316,635.50
  5. Step 5: Solve for x
    x = 30,326,316,635.50/256,358.40
  6. Step 6: Final answer
    x = 118,296.56

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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.