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Finding the Fourth Proportional to 531,127.06, 732,963.71 and 289,409.49

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Solution

The fourth proportional to 531,127.06, 732,963.71 and 289,409.49 is: 399,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,127.06 : 732,963.71 = 289,409.49 : x
  2. Step 2: Convert to fraction form
    531,127.06/732,963.71 = 289,409.49/x
  3. Step 3: Cross multiply
    531,127.06x = 732,963.71 × 289,409.49
  4. Step 4: Simplify right side
    531,127.06x = 212,126,654,223.13
  5. Step 5: Solve for x
    x = 212,126,654,223.13/531,127.06
  6. Step 6: Final answer
    x = 399,389.66

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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.