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Finding the Fourth Proportional to 616,434.97, 850,706.53 and 344,502.86

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Solution

The fourth proportional to 616,434.97, 850,706.53 and 344,502.86 is: 475,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,434.97 : 850,706.53 = 344,502.86 : x
  2. Step 2: Convert to fraction form
    616,434.97/850,706.53 = 344,502.86/x
  3. Step 3: Cross multiply
    616,434.97x = 850,706.53 × 344,502.86
  4. Step 4: Simplify right side
    616,434.97x = 293,070,827,490.89
  5. Step 5: Solve for x
    x = 293,070,827,490.89/616,434.97
  6. Step 6: Final answer
    x = 475,428.62

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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.