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Finding the Fourth Proportional to 782,504.64, 1,079,840.16 and 424,808.64

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Solution

The fourth proportional to 782,504.64, 1,079,840.16 and 424,808.64 is: 586,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,504.64 : 1,079,840.16 = 424,808.64 : x
  2. Step 2: Convert to fraction form
    782,504.64/1,079,840.16 = 424,808.64/x
  3. Step 3: Cross multiply
    782,504.64x = 1,079,840.16 × 424,808.64
  4. Step 4: Simplify right side
    782,504.64x = 458,725,429,786.98
  5. Step 5: Solve for x
    x = 458,725,429,786.98/782,504.64
  6. Step 6: Final answer
    x = 586,227.11

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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.