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Finding the Fourth Proportional to 442,106.64, 662,605.08 and 189,089.66

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Solution

The fourth proportional to 442,106.64, 662,605.08 and 189,089.66 is: 283,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,106.64 : 662,605.08 = 189,089.66 : x
  2. Step 2: Convert to fraction form
    442,106.64/662,605.08 = 189,089.66/x
  3. Step 3: Cross multiply
    442,106.64x = 662,605.08 × 189,089.66
  4. Step 4: Simplify right side
    442,106.64x = 125,291,766,511.75
  5. Step 5: Solve for x
    x = 125,291,766,511.75/442,106.64
  6. Step 6: Final answer
    x = 283,397.16

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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.