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Finding the Fourth Proportional to 313,853.70, 470,744.10 and 89,248.80

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Solution

The fourth proportional to 313,853.70, 470,744.10 and 89,248.80 is: 133,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,853.70 : 470,744.10 = 89,248.80 : x
  2. Step 2: Convert to fraction form
    313,853.70/470,744.10 = 89,248.80/x
  3. Step 3: Cross multiply
    313,853.70x = 470,744.10 × 89,248.80
  4. Step 4: Simplify right side
    313,853.70x = 42,013,346,032.08
  5. Step 5: Solve for x
    x = 42,013,346,032.08/313,853.70
  6. Step 6: Final answer
    x = 133,862.83

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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.