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Finding the Fourth Proportional to 415,782.80, 623,688.60 and 131,476.40

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Solution

The fourth proportional to 415,782.80, 623,688.60 and 131,476.40 is: 197,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,782.80 : 623,688.60 = 131,476.40 : x
  2. Step 2: Convert to fraction form
    415,782.80/623,688.60 = 131,476.40/x
  3. Step 3: Cross multiply
    415,782.80x = 623,688.60 × 131,476.40
  4. Step 4: Simplify right side
    415,782.80x = 82,000,331,849.04
  5. Step 5: Solve for x
    x = 82,000,331,849.04/415,782.80
  6. Step 6: Final answer
    x = 197,219.15

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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.