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Finding the Fourth Proportional to 527,480.94, 727,924 and 285,765.20

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Solution

The fourth proportional to 527,480.94, 727,924 and 285,765.20 is: 394,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,480.94 : 727,924 = 285,765.20 : x
  2. Step 2: Convert to fraction form
    527,480.94/727,924 = 285,765.20/x
  3. Step 3: Cross multiply
    527,480.94x = 727,924 × 285,765.20
  4. Step 4: Simplify right side
    527,480.94x = 208,015,343,805.18
  5. Step 5: Solve for x
    x = 208,015,343,805.18/527,480.94
  6. Step 6: Final answer
    x = 394,356.13

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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.