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Finding the Fourth Proportional to 527,065.41, 727,349.85 and 285,350.07

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Solution

The fourth proportional to 527,065.41, 727,349.85 and 285,350.07 is: 393,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,065.41 : 727,349.85 = 285,350.07 : x
  2. Step 2: Convert to fraction form
    527,065.41/727,349.85 = 285,350.07/x
  3. Step 3: Cross multiply
    527,065.41x = 727,349.85 × 285,350.07
  4. Step 4: Simplify right side
    527,065.41x = 207,549,330,611.99
  5. Step 5: Solve for x
    x = 207,549,330,611.99/527,065.41
  6. Step 6: Final answer
    x = 393,782.87

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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.