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Finding the Fourth Proportional to 415,337.40, 623,006.10 and 255,905.10

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Solution

The fourth proportional to 415,337.40, 623,006.10 and 255,905.10 is: 383,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,337.40 : 623,006.10 = 255,905.10 : x
  2. Step 2: Convert to fraction form
    415,337.40/623,006.10 = 255,905.10/x
  3. Step 3: Cross multiply
    415,337.40x = 623,006.10 × 255,905.10
  4. Step 4: Simplify right side
    415,337.40x = 159,430,438,321.11
  5. Step 5: Solve for x
    x = 159,430,438,321.11/415,337.40
  6. Step 6: Final answer
    x = 383,857.65

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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.