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Finding the Fourth Proportional to 442,980.35, 664,479.94 and 158,689.38

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Solution

The fourth proportional to 442,980.35, 664,479.94 and 158,689.38 is: 238,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,980.35 : 664,479.94 = 158,689.38 : x
  2. Step 2: Convert to fraction form
    442,980.35/664,479.94 = 158,689.38/x
  3. Step 3: Cross multiply
    442,980.35x = 664,479.94 × 158,689.38
  4. Step 4: Simplify right side
    442,980.35x = 105,445,909,701.04
  5. Step 5: Solve for x
    x = 105,445,909,701.04/442,980.35
  6. Step 6: Final answer
    x = 238,037.44

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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.