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Finding the Fourth Proportional to 286,644.40, 429,966.60 and 73,411.90

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Solution

The fourth proportional to 286,644.40, 429,966.60 and 73,411.90 is: 110,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,644.40 : 429,966.60 = 73,411.90 : x
  2. Step 2: Convert to fraction form
    286,644.40/429,966.60 = 73,411.90/x
  3. Step 3: Cross multiply
    286,644.40x = 429,966.60 × 73,411.90
  4. Step 4: Simplify right side
    286,644.40x = 31,564,665,042.54
  5. Step 5: Solve for x
    x = 31,564,665,042.54/286,644.40
  6. Step 6: Final answer
    x = 110,117.85

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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.