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Finding the Fourth Proportional to 487,938.42, 732,345 and 408,473.76

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Solution

The fourth proportional to 487,938.42, 732,345 and 408,473.76 is: 613,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,938.42 : 732,345 = 408,473.76 : x
  2. Step 2: Convert to fraction form
    487,938.42/732,345 = 408,473.76/x
  3. Step 3: Cross multiply
    487,938.42x = 732,345 × 408,473.76
  4. Step 4: Simplify right side
    487,938.42x = 299,143,715,767.20
  5. Step 5: Solve for x
    x = 299,143,715,767.20/487,938.42
  6. Step 6: Final answer
    x = 613,076.78

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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.