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Finding the Fourth Proportional to 527,987.10, 728,618.70 and 286,268.92

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Solution

The fourth proportional to 527,987.10, 728,618.70 and 286,268.92 is: 395,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,987.10 : 728,618.70 = 286,268.92 : x
  2. Step 2: Convert to fraction form
    527,987.10/728,618.70 = 286,268.92/x
  3. Step 3: Cross multiply
    527,987.10x = 728,618.70 × 286,268.92
  4. Step 4: Simplify right side
    527,987.10x = 208,580,888,340.80
  5. Step 5: Solve for x
    x = 208,580,888,340.80/527,987.10
  6. Step 6: Final answer
    x = 395,049.22

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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.