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Finding the Fourth Proportional to 422,689.50, 634,117.14 and 156,452.28

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Solution

The fourth proportional to 422,689.50, 634,117.14 and 156,452.28 is: 234,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,689.50 : 634,117.14 = 156,452.28 : x
  2. Step 2: Convert to fraction form
    422,689.50/634,117.14 = 156,452.28/x
  3. Step 3: Cross multiply
    422,689.50x = 634,117.14 × 156,452.28
  4. Step 4: Simplify right side
    422,689.50x = 99,209,072,340.08
  5. Step 5: Solve for x
    x = 99,209,072,340.08/422,689.50
  6. Step 6: Final answer
    x = 234,709.10

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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.