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Finding the Fourth Proportional to 407,947.60, 612,140.10 and 171,314.20

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Solution

The fourth proportional to 407,947.60, 612,140.10 and 171,314.20 is: 257,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,947.60 : 612,140.10 = 171,314.20 : x
  2. Step 2: Convert to fraction form
    407,947.60/612,140.10 = 171,314.20/x
  3. Step 3: Cross multiply
    407,947.60x = 612,140.10 × 171,314.20
  4. Step 4: Simplify right side
    407,947.60x = 104,868,291,519.42
  5. Step 5: Solve for x
    x = 104,868,291,519.42/407,947.60
  6. Step 6: Final answer
    x = 257,063.14

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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.