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Finding the Fourth Proportional to 517,412.64, 714,008.50 and 287,963.44

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Solution

The fourth proportional to 517,412.64, 714,008.50 and 287,963.44 is: 397,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,412.64 : 714,008.50 = 287,963.44 : x
  2. Step 2: Convert to fraction form
    517,412.64/714,008.50 = 287,963.44/x
  3. Step 3: Cross multiply
    517,412.64x = 714,008.50 × 287,963.44
  4. Step 4: Simplify right side
    517,412.64x = 205,608,343,849.24
  5. Step 5: Solve for x
    x = 205,608,343,849.24/517,412.64
  6. Step 6: Final answer
    x = 397,377.89

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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.