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Finding the Fourth Proportional to 540,385.28, 745,824 and 314,161.92

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Solution

The fourth proportional to 540,385.28, 745,824 and 314,161.92 is: 433,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,385.28 : 745,824 = 314,161.92 : x
  2. Step 2: Convert to fraction form
    540,385.28/745,824 = 314,161.92/x
  3. Step 3: Cross multiply
    540,385.28x = 745,824 × 314,161.92
  4. Step 4: Simplify right side
    540,385.28x = 234,309,499,822.08
  5. Step 5: Solve for x
    x = 234,309,499,822.08/540,385.28
  6. Step 6: Final answer
    x = 433,597.12

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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.