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Finding the Fourth Proportional to 527,072.28, 727,062.76 and 333,420

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Solution

The fourth proportional to 527,072.28, 727,062.76 and 333,420 is: 459,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,072.28 : 727,062.76 = 333,420 : x
  2. Step 2: Convert to fraction form
    527,072.28/727,062.76 = 333,420/x
  3. Step 3: Cross multiply
    527,072.28x = 727,062.76 × 333,420
  4. Step 4: Simplify right side
    527,072.28x = 242,417,265,439.20
  5. Step 5: Solve for x
    x = 242,417,265,439.20/527,072.28
  6. Step 6: Final answer
    x = 459,931.73

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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.