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Finding the Fourth Proportional to 287,428.20, 431,142.30 and 284,663.40

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Solution

The fourth proportional to 287,428.20, 431,142.30 and 284,663.40 is: 426,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,428.20 : 431,142.30 = 284,663.40 : x
  2. Step 2: Convert to fraction form
    287,428.20/431,142.30 = 284,663.40/x
  3. Step 3: Cross multiply
    287,428.20x = 431,142.30 × 284,663.40
  4. Step 4: Simplify right side
    287,428.20x = 122,730,433,001.82
  5. Step 5: Solve for x
    x = 122,730,433,001.82/287,428.20
  6. Step 6: Final answer
    x = 426,995.10

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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.