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Finding the Fourth Proportional to 402,575.10, 603,862.65 and 165,795.90

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Solution

The fourth proportional to 402,575.10, 603,862.65 and 165,795.90 is: 248,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,575.10 : 603,862.65 = 165,795.90 : x
  2. Step 2: Convert to fraction form
    402,575.10/603,862.65 = 165,795.90/x
  3. Step 3: Cross multiply
    402,575.10x = 603,862.65 × 165,795.90
  4. Step 4: Simplify right side
    402,575.10x = 100,117,951,533.14
  5. Step 5: Solve for x
    x = 100,117,951,533.14/402,575.10
  6. Step 6: Final answer
    x = 248,693.85

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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.