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Finding the Fourth Proportional to 708,040.20, 978,338.34 and 565,972.68

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Solution

The fourth proportional to 708,040.20, 978,338.34 and 565,972.68 is: 782,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,040.20 : 978,338.34 = 565,972.68 : x
  2. Step 2: Convert to fraction form
    708,040.20/978,338.34 = 565,972.68/x
  3. Step 3: Cross multiply
    708,040.20x = 978,338.34 × 565,972.68
  4. Step 4: Simplify right side
    708,040.20x = 553,712,772,236.55
  5. Step 5: Solve for x
    x = 553,712,772,236.55/708,040.20
  6. Step 6: Final answer
    x = 782,035.78

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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.