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Finding the Fourth Proportional to 532,943.76, 735,459.60 and 315,230.40

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Solution

The fourth proportional to 532,943.76, 735,459.60 and 315,230.40 is: 435,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,943.76 : 735,459.60 = 315,230.40 : x
  2. Step 2: Convert to fraction form
    532,943.76/735,459.60 = 315,230.40/x
  3. Step 3: Cross multiply
    532,943.76x = 735,459.60 × 315,230.40
  4. Step 4: Simplify right side
    532,943.76x = 231,839,223,891.84
  5. Step 5: Solve for x
    x = 231,839,223,891.84/532,943.76
  6. Step 6: Final answer
    x = 435,016.30

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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.