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Finding the Fourth Proportional to 442,125.30, 662,708.10 and 290,258.66

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Solution

The fourth proportional to 442,125.30, 662,708.10 and 290,258.66 is: 435,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,125.30 : 662,708.10 = 290,258.66 : x
  2. Step 2: Convert to fraction form
    442,125.30/662,708.10 = 290,258.66/x
  3. Step 3: Cross multiply
    442,125.30x = 662,708.10 × 290,258.66
  4. Step 4: Simplify right side
    442,125.30x = 192,356,762,461.95
  5. Step 5: Solve for x
    x = 192,356,762,461.95/442,125.30
  6. Step 6: Final answer
    x = 435,072.96

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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.