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Finding the Fourth Proportional to 782,672, 1,080,087.36 and 424,976

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Solution

The fourth proportional to 782,672, 1,080,087.36 and 424,976 is: 586,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,672 : 1,080,087.36 = 424,976 : x
  2. Step 2: Convert to fraction form
    782,672/1,080,087.36 = 424,976/x
  3. Step 3: Cross multiply
    782,672x = 1,080,087.36 × 424,976
  4. Step 4: Simplify right side
    782,672x = 459,011,205,903.36
  5. Step 5: Solve for x
    x = 459,011,205,903.36/782,672
  6. Step 6: Final answer
    x = 586,466.88

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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.