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Finding the Fourth Proportional to 410,870.80, 615,917.40 and 242,520.40

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Solution

The fourth proportional to 410,870.80, 615,917.40 and 242,520.40 is: 363,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,870.80 : 615,917.40 = 242,520.40 : x
  2. Step 2: Convert to fraction form
    410,870.80/615,917.40 = 242,520.40/x
  3. Step 3: Cross multiply
    410,870.80x = 615,917.40 × 242,520.40
  4. Step 4: Simplify right side
    410,870.80x = 149,372,534,214.96
  5. Step 5: Solve for x
    x = 149,372,534,214.96/410,870.80
  6. Step 6: Final answer
    x = 363,551.11

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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.