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Finding the Fourth Proportional to 527,308.16, 727,737.36 and 300,987.68

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Solution

The fourth proportional to 527,308.16, 727,737.36 and 300,987.68 is: 415,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,308.16 : 727,737.36 = 300,987.68 : x
  2. Step 2: Convert to fraction form
    527,308.16/727,737.36 = 300,987.68/x
  3. Step 3: Cross multiply
    527,308.16x = 727,737.36 × 300,987.68
  4. Step 4: Simplify right side
    527,308.16x = 219,039,979,635.73
  5. Step 5: Solve for x
    x = 219,039,979,635.73/527,308.16
  6. Step 6: Final answer
    x = 415,392.74

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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.