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Finding the Fourth Proportional to 415,433.70, 623,150.55 and 257,148.90

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Solution

The fourth proportional to 415,433.70, 623,150.55 and 257,148.90 is: 385,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,433.70 : 623,150.55 = 257,148.90 : x
  2. Step 2: Convert to fraction form
    415,433.70/623,150.55 = 257,148.90/x
  3. Step 3: Cross multiply
    415,433.70x = 623,150.55 × 257,148.90
  4. Step 4: Simplify right side
    415,433.70x = 160,242,478,466.90
  5. Step 5: Solve for x
    x = 160,242,478,466.90/415,433.70
  6. Step 6: Final answer
    x = 385,723.35

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Similar ratio
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1.5x scale

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.