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Finding the Fourth Proportional to 577,391.94, 865,792.17 and 307,673.78

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Solution

The fourth proportional to 577,391.94, 865,792.17 and 307,673.78 is: 461,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,391.94 : 865,792.17 = 307,673.78 : x
  2. Step 2: Convert to fraction form
    577,391.94/865,792.17 = 307,673.78/x
  3. Step 3: Cross multiply
    577,391.94x = 865,792.17 × 307,673.78
  4. Step 4: Simplify right side
    577,391.94x = 266,381,545,309.34
  5. Step 5: Solve for x
    x = 266,381,545,309.34/577,391.94
  6. Step 6: Final answer
    x = 461,353.07

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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.