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Finding the Fourth Proportional to 431,143.80, 646,715.70 and 424,145.40

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Solution

The fourth proportional to 431,143.80, 646,715.70 and 424,145.40 is: 636,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,143.80 : 646,715.70 = 424,145.40 : x
  2. Step 2: Convert to fraction form
    431,143.80/646,715.70 = 424,145.40/x
  3. Step 3: Cross multiply
    431,143.80x = 646,715.70 × 424,145.40
  4. Step 4: Simplify right side
    431,143.80x = 274,301,489,262.78
  5. Step 5: Solve for x
    x = 274,301,489,262.78/431,143.80
  6. Step 6: Final answer
    x = 636,218.10

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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.