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Finding the Fourth Proportional to 442,006.56, 662,217.12 and 268,582.86

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Solution

The fourth proportional to 442,006.56, 662,217.12 and 268,582.86 is: 402,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,006.56 : 662,217.12 = 268,582.86 : x
  2. Step 2: Convert to fraction form
    442,006.56/662,217.12 = 268,582.86/x
  3. Step 3: Cross multiply
    442,006.56x = 662,217.12 × 268,582.86
  4. Step 4: Simplify right side
    442,006.56x = 177,860,168,030.56
  5. Step 5: Solve for x
    x = 177,860,168,030.56/442,006.56
  6. Step 6: Final answer
    x = 402,392.60

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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.