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Finding the Fourth Proportional to 612,045.47, 844,722.96 and 509,908.97

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Solution

The fourth proportional to 612,045.47, 844,722.96 and 509,908.97 is: 703,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,045.47 : 844,722.96 = 509,908.97 : x
  2. Step 2: Convert to fraction form
    612,045.47/844,722.96 = 509,908.97/x
  3. Step 3: Cross multiply
    612,045.47x = 844,722.96 × 509,908.97
  4. Step 4: Simplify right side
    612,045.47x = 430,731,814,468.95
  5. Step 5: Solve for x
    x = 430,731,814,468.95/612,045.47
  6. Step 6: Final answer
    x = 703,757.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.