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Finding the Fourth Proportional to 415,723.70, 623,585.55 and 257,438.90

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Solution

The fourth proportional to 415,723.70, 623,585.55 and 257,438.90 is: 386,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,723.70 : 623,585.55 = 257,438.90 : x
  2. Step 2: Convert to fraction form
    415,723.70/623,585.55 = 257,438.90/x
  3. Step 3: Cross multiply
    415,723.70x = 623,585.55 × 257,438.90
  4. Step 4: Simplify right side
    415,723.70x = 160,535,178,047.90
  5. Step 5: Solve for x
    x = 160,535,178,047.90/415,723.70
  6. Step 6: Final answer
    x = 386,158.35

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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.