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Finding the Fourth Proportional to 527,466.88, 727,978.56 and 301,125.76

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Solution

The fourth proportional to 527,466.88, 727,978.56 and 301,125.76 is: 415,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,466.88 : 727,978.56 = 301,125.76 : x
  2. Step 2: Convert to fraction form
    527,466.88/727,978.56 = 301,125.76/x
  3. Step 3: Cross multiply
    527,466.88x = 727,978.56 × 301,125.76
  4. Step 4: Simplify right side
    527,466.88x = 219,213,097,143.71
  5. Step 5: Solve for x
    x = 219,213,097,143.71/527,466.88
  6. Step 6: Final answer
    x = 415,595.95

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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.