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Finding the Fourth Proportional to 540,967.64, 746,470.28 and 311,599.52

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Solution

The fourth proportional to 540,967.64, 746,470.28 and 311,599.52 is: 429,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,967.64 : 746,470.28 = 311,599.52 : x
  2. Step 2: Convert to fraction form
    540,967.64/746,470.28 = 311,599.52/x
  3. Step 3: Cross multiply
    540,967.64x = 746,470.28 × 311,599.52
  4. Step 4: Simplify right side
    540,967.64x = 232,599,780,942.27
  5. Step 5: Solve for x
    x = 232,599,780,942.27/540,967.64
  6. Step 6: Final answer
    x = 429,969.86

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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.