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Finding the Fourth Proportional to 287,294.70, 430,942.05 and 109,710.30

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Solution

The fourth proportional to 287,294.70, 430,942.05 and 109,710.30 is: 164,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,294.70 : 430,942.05 = 109,710.30 : x
  2. Step 2: Convert to fraction form
    287,294.70/430,942.05 = 109,710.30/x
  3. Step 3: Cross multiply
    287,294.70x = 430,942.05 × 109,710.30
  4. Step 4: Simplify right side
    287,294.70x = 47,278,781,588.12
  5. Step 5: Solve for x
    x = 47,278,781,588.12/287,294.70
  6. Step 6: Final answer
    x = 164,565.45

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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.