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Finding the Fourth Proportional to 527,462.88, 727,973.04 and 301,121.76

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Solution

The fourth proportional to 527,462.88, 727,973.04 and 301,121.76 is: 415,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,462.88 : 727,973.04 = 301,121.76 : x
  2. Step 2: Convert to fraction form
    527,462.88/727,973.04 = 301,121.76/x
  3. Step 3: Cross multiply
    527,462.88x = 727,973.04 × 301,121.76
  4. Step 4: Simplify right side
    527,462.88x = 219,208,523,037.35
  5. Step 5: Solve for x
    x = 219,208,523,037.35/527,462.88
  6. Step 6: Final answer
    x = 415,590.43

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1.5x scale

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.