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Finding the Fourth Proportional to 642,261.40, 962,225.70 and 392,651.80

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Solution

The fourth proportional to 642,261.40, 962,225.70 and 392,651.80 is: 588,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,261.40 : 962,225.70 = 392,651.80 : x
  2. Step 2: Convert to fraction form
    642,261.40/962,225.70 = 392,651.80/x
  3. Step 3: Cross multiply
    642,261.40x = 962,225.70 × 392,651.80
  4. Step 4: Simplify right side
    642,261.40x = 377,819,653,111.26
  5. Step 5: Solve for x
    x = 377,819,653,111.26/642,261.40
  6. Step 6: Final answer
    x = 588,264.61

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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.