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Finding the Fourth Proportional to 497,065.12, 745,416.24 and 181,428.64

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Solution

The fourth proportional to 497,065.12, 745,416.24 and 181,428.64 is: 272,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,065.12 : 745,416.24 = 181,428.64 : x
  2. Step 2: Convert to fraction form
    497,065.12/745,416.24 = 181,428.64/x
  3. Step 3: Cross multiply
    497,065.12x = 745,416.24 × 181,428.64
  4. Step 4: Simplify right side
    497,065.12x = 135,239,854,657.11
  5. Step 5: Solve for x
    x = 135,239,854,657.11/497,065.12
  6. Step 6: Final answer
    x = 272,076.73

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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.