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Finding the Fourth Proportional to 527,928.71, 725,843.97 and 470,016.95

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Solution

The fourth proportional to 527,928.71, 725,843.97 and 470,016.95 is: 646,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,928.71 : 725,843.97 = 470,016.95 : x
  2. Step 2: Convert to fraction form
    527,928.71/725,843.97 = 470,016.95/x
  3. Step 3: Cross multiply
    527,928.71x = 725,843.97 × 470,016.95
  4. Step 4: Simplify right side
    527,928.71x = 341,158,965,326.07
  5. Step 5: Solve for x
    x = 341,158,965,326.07/527,928.71
  6. Step 6: Final answer
    x = 646,221.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.