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Finding the Fourth Proportional to 658,713.84, 989,393.40 and 392,993.52

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Solution

The fourth proportional to 658,713.84, 989,393.40 and 392,993.52 is: 590,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,713.84 : 989,393.40 = 392,993.52 : x
  2. Step 2: Convert to fraction form
    658,713.84/989,393.40 = 392,993.52/x
  3. Step 3: Cross multiply
    658,713.84x = 989,393.40 × 392,993.52
  4. Step 4: Simplify right side
    658,713.84x = 388,825,194,930.77
  5. Step 5: Solve for x
    x = 388,825,194,930.77/658,713.84
  6. Step 6: Final answer
    x = 590,279.38

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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.