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Finding the Fourth Proportional to 298,090.40, 447,214.80 and 129,538.40

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Solution

The fourth proportional to 298,090.40, 447,214.80 and 129,538.40 is: 194,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,090.40 : 447,214.80 = 129,538.40 : x
  2. Step 2: Convert to fraction form
    298,090.40/447,214.80 = 129,538.40/x
  3. Step 3: Cross multiply
    298,090.40x = 447,214.80 × 129,538.40
  4. Step 4: Simplify right side
    298,090.40x = 57,931,489,648.32
  5. Step 5: Solve for x
    x = 57,931,489,648.32/298,090.40
  6. Step 6: Final answer
    x = 194,342.02

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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.