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Finding the Fourth Proportional to 642,611.20, 962,995.20 and 472,806.40

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Solution

The fourth proportional to 642,611.20, 962,995.20 and 472,806.40 is: 708,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,611.20 : 962,995.20 = 472,806.40 : x
  2. Step 2: Convert to fraction form
    642,611.20/962,995.20 = 472,806.40/x
  3. Step 3: Cross multiply
    642,611.20x = 962,995.20 × 472,806.40
  4. Step 4: Simplify right side
    642,611.20x = 455,310,293,729.28
  5. Step 5: Solve for x
    x = 455,310,293,729.28/642,611.20
  6. Step 6: Final answer
    x = 708,531.53

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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.