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Finding the Fourth Proportional to 517,221.40, 713,702.85 and 287,724.45

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Solution

The fourth proportional to 517,221.40, 713,702.85 and 287,724.45 is: 397,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,221.40 : 713,702.85 = 287,724.45 : x
  2. Step 2: Convert to fraction form
    517,221.40/713,702.85 = 287,724.45/x
  3. Step 3: Cross multiply
    517,221.40x = 713,702.85 × 287,724.45
  4. Step 4: Simplify right side
    517,221.40x = 205,349,761,577.10
  5. Step 5: Solve for x
    x = 205,349,761,577.10/517,221.40
  6. Step 6: Final answer
    x = 397,024.88

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1.5x scale

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.