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Finding the Fourth Proportional to 497,109.12, 745,482.24 and 181,472.64

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Solution

The fourth proportional to 497,109.12, 745,482.24 and 181,472.64 is: 272,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,109.12 : 745,482.24 = 181,472.64 : x
  2. Step 2: Convert to fraction form
    497,109.12/745,482.24 = 181,472.64/x
  3. Step 3: Cross multiply
    497,109.12x = 745,482.24 × 181,472.64
  4. Step 4: Simplify right side
    497,109.12x = 135,284,630,165.91
  5. Step 5: Solve for x
    x = 135,284,630,165.91/497,109.12
  6. Step 6: Final answer
    x = 272,142.72

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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.