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Finding the Fourth Proportional to 442,871.40, 664,404.30 and 218,339.40

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Solution

The fourth proportional to 442,871.40, 664,404.30 and 218,339.40 is: 327,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,871.40 : 664,404.30 = 218,339.40 : x
  2. Step 2: Convert to fraction form
    442,871.40/664,404.30 = 218,339.40/x
  3. Step 3: Cross multiply
    442,871.40x = 664,404.30 × 218,339.40
  4. Step 4: Simplify right side
    442,871.40x = 145,065,636,219.42
  5. Step 5: Solve for x
    x = 145,065,636,219.42/442,871.40
  6. Step 6: Final answer
    x = 327,557.02

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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.