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Finding the Fourth Proportional to 442,830.40, 664,342.80 and 218,298.40

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Solution

The fourth proportional to 442,830.40, 664,342.80 and 218,298.40 is: 327,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,830.40 : 664,342.80 = 218,298.40 : x
  2. Step 2: Convert to fraction form
    442,830.40/664,342.80 = 218,298.40/x
  3. Step 3: Cross multiply
    442,830.40x = 664,342.80 × 218,298.40
  4. Step 4: Simplify right side
    442,830.40x = 145,024,970,291.52
  5. Step 5: Solve for x
    x = 145,024,970,291.52/442,830.40
  6. Step 6: Final answer
    x = 327,495.52

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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.