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Finding the Fourth Proportional to 510,963.31, 705,101.10 and 281,475.48

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Solution

The fourth proportional to 510,963.31, 705,101.10 and 281,475.48 is: 388,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,963.31 : 705,101.10 = 281,475.48 : x
  2. Step 2: Convert to fraction form
    510,963.31/705,101.10 = 281,475.48/x
  3. Step 3: Cross multiply
    510,963.31x = 705,101.10 × 281,475.48
  4. Step 4: Simplify right side
    510,963.31x = 198,468,671,759.83
  5. Step 5: Solve for x
    x = 198,468,671,759.83/510,963.31
  6. Step 6: Final answer
    x = 388,420.59

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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.