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Finding the Fourth Proportional to 287,575.40, 431,363.10 and 147,607.40

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Solution

The fourth proportional to 287,575.40, 431,363.10 and 147,607.40 is: 221,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,575.40 : 431,363.10 = 147,607.40 : x
  2. Step 2: Convert to fraction form
    287,575.40/431,363.10 = 147,607.40/x
  3. Step 3: Cross multiply
    287,575.40x = 431,363.10 × 147,607.40
  4. Step 4: Simplify right side
    287,575.40x = 63,672,385,646.94
  5. Step 5: Solve for x
    x = 63,672,385,646.94/287,575.40
  6. Step 6: Final answer
    x = 221,411.10

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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.