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Finding the Fourth Proportional to 287,713.30, 431,397.15 and 147,745.30

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Solution

The fourth proportional to 287,713.30, 431,397.15 and 147,745.30 is: 221,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,713.30 : 431,397.15 = 147,745.30 : x
  2. Step 2: Convert to fraction form
    287,713.30/431,397.15 = 147,745.30/x
  3. Step 3: Cross multiply
    287,713.30x = 431,397.15 × 147,745.30
  4. Step 4: Simplify right side
    287,713.30x = 63,736,901,345.90
  5. Step 5: Solve for x
    x = 63,736,901,345.90/287,713.30
  6. Step 6: Final answer
    x = 221,529.21

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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.