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Finding the Fourth Proportional to 378,430.28, 521,691.12 and 297,717.64

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Solution

The fourth proportional to 378,430.28, 521,691.12 and 297,717.64 is: 410,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,430.28 : 521,691.12 = 297,717.64 : x
  2. Step 2: Convert to fraction form
    378,430.28/521,691.12 = 297,717.64/x
  3. Step 3: Cross multiply
    378,430.28x = 521,691.12 × 297,717.64
  4. Step 4: Simplify right side
    378,430.28x = 155,316,649,055.36
  5. Step 5: Solve for x
    x = 155,316,649,055.36/378,430.28
  6. Step 6: Final answer
    x = 410,423.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.