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Finding the Fourth Proportional to 769,978.40, 1,153,655.40 and 657,129.20

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Solution

The fourth proportional to 769,978.40, 1,153,655.40 and 657,129.20 is: 984,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,978.40 : 1,153,655.40 = 657,129.20 : x
  2. Step 2: Convert to fraction form
    769,978.40/1,153,655.40 = 657,129.20/x
  3. Step 3: Cross multiply
    769,978.40x = 1,153,655.40 × 657,129.20
  4. Step 4: Simplify right side
    769,978.40x = 758,100,650,077.68
  5. Step 5: Solve for x
    x = 758,100,650,077.68/769,978.40
  6. Step 6: Final answer
    x = 984,573.92

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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.