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Finding the Fourth Proportional to 422,709.52, 634,147.16 and 156,472.32

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Solution

The fourth proportional to 422,709.52, 634,147.16 and 156,472.32 is: 234,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,709.52 : 634,147.16 = 156,472.32 : x
  2. Step 2: Convert to fraction form
    422,709.52/634,147.16 = 156,472.32/x
  3. Step 3: Cross multiply
    422,709.52x = 634,147.16 × 156,472.32
  4. Step 4: Simplify right side
    422,709.52x = 99,226,477,346.61
  5. Step 5: Solve for x
    x = 99,226,477,346.61/422,709.52
  6. Step 6: Final answer
    x = 234,739.16

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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.