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Finding the Fourth Proportional to 458,522.24, 687,920.04 and 218,816.10

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Solution

The fourth proportional to 458,522.24, 687,920.04 and 218,816.10 is: 328,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,522.24 : 687,920.04 = 218,816.10 : x
  2. Step 2: Convert to fraction form
    458,522.24/687,920.04 = 218,816.10/x
  3. Step 3: Cross multiply
    458,522.24x = 687,920.04 × 218,816.10
  4. Step 4: Simplify right side
    458,522.24x = 150,527,980,264.64
  5. Step 5: Solve for x
    x = 150,527,980,264.64/458,522.24
  6. Step 6: Final answer
    x = 328,289.38

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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.