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Finding the Fourth Proportional to 527,047.84, 727,030.92 and 311,978.28

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Solution

The fourth proportional to 527,047.84, 727,030.92 and 311,978.28 is: 430,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,047.84 : 727,030.92 = 311,978.28 : x
  2. Step 2: Convert to fraction form
    527,047.84/727,030.92 = 311,978.28/x
  3. Step 3: Cross multiply
    527,047.84x = 727,030.92 × 311,978.28
  4. Step 4: Simplify right side
    527,047.84x = 226,817,855,928.42
  5. Step 5: Solve for x
    x = 226,817,855,928.42/527,047.84
  6. Step 6: Final answer
    x = 430,355.35

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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.