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Finding the Fourth Proportional to 312,430.80, 468,549.20 and 112,725.17

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Solution

The fourth proportional to 312,430.80, 468,549.20 and 112,725.17 is: 169,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,430.80 : 468,549.20 = 112,725.17 : x
  2. Step 2: Convert to fraction form
    312,430.80/468,549.20 = 112,725.17/x
  3. Step 3: Cross multiply
    312,430.80x = 468,549.20 × 112,725.17
  4. Step 4: Simplify right side
    312,430.80x = 52,817,285,316.99
  5. Step 5: Solve for x
    x = 52,817,285,316.99/312,430.80
  6. Step 6: Final answer
    x = 169,052.75

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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.