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Finding the Fourth Proportional to 782,283.16, 1,079,365.76 and 442,751.40

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Solution

The fourth proportional to 782,283.16, 1,079,365.76 and 442,751.40 is: 610,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,283.16 : 1,079,365.76 = 442,751.40 : x
  2. Step 2: Convert to fraction form
    782,283.16/1,079,365.76 = 442,751.40/x
  3. Step 3: Cross multiply
    782,283.16x = 1,079,365.76 × 442,751.40
  4. Step 4: Simplify right side
    782,283.16x = 477,890,701,352.06
  5. Step 5: Solve for x
    x = 477,890,701,352.06/782,283.16
  6. Step 6: Final answer
    x = 610,892.23

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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.