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Finding the Fourth Proportional to 538,438.60, 807,657.90 and 314,052.40

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Solution

The fourth proportional to 538,438.60, 807,657.90 and 314,052.40 is: 471,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,438.60 : 807,657.90 = 314,052.40 : x
  2. Step 2: Convert to fraction form
    538,438.60/807,657.90 = 314,052.40/x
  3. Step 3: Cross multiply
    538,438.60x = 807,657.90 × 314,052.40
  4. Step 4: Simplify right side
    538,438.60x = 253,646,901,873.96
  5. Step 5: Solve for x
    x = 253,646,901,873.96/538,438.60
  6. Step 6: Final answer
    x = 471,078.60

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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.