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Finding the Fourth Proportional to 458,351.12, 687,545.28 and 218,341.64

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Solution

The fourth proportional to 458,351.12, 687,545.28 and 218,341.64 is: 327,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,351.12 : 687,545.28 = 218,341.64 : x
  2. Step 2: Convert to fraction form
    458,351.12/687,545.28 = 218,341.64/x
  3. Step 3: Cross multiply
    458,351.12x = 687,545.28 × 218,341.64
  4. Step 4: Simplify right side
    458,351.12x = 150,119,764,009.46
  5. Step 5: Solve for x
    x = 150,119,764,009.46/458,351.12
  6. Step 6: Final answer
    x = 327,521.32

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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.