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Finding the Fourth Proportional to 422,764.66, 634,139.68 and 142,281.91

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Solution

The fourth proportional to 422,764.66, 634,139.68 and 142,281.91 is: 213,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,764.66 : 634,139.68 = 142,281.91 : x
  2. Step 2: Convert to fraction form
    422,764.66/634,139.68 = 142,281.91/x
  3. Step 3: Cross multiply
    422,764.66x = 634,139.68 × 142,281.91
  4. Step 4: Simplify right side
    422,764.66x = 90,226,604,165.78
  5. Step 5: Solve for x
    x = 90,226,604,165.78/422,764.66
  6. Step 6: Final answer
    x = 213,420.40

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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.