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Finding the Fourth Proportional to 442,965.20, 664,447.80 and 390,477.20

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Solution

The fourth proportional to 442,965.20, 664,447.80 and 390,477.20 is: 585,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,965.20 : 664,447.80 = 390,477.20 : x
  2. Step 2: Convert to fraction form
    442,965.20/664,447.80 = 390,477.20/x
  3. Step 3: Cross multiply
    442,965.20x = 664,447.80 × 390,477.20
  4. Step 4: Simplify right side
    442,965.20x = 259,451,716,490.16
  5. Step 5: Solve for x
    x = 259,451,716,490.16/442,965.20
  6. Step 6: Final answer
    x = 585,715.80

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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.