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Finding the Fourth Proportional to 519,659.95, 717,123.69 and 290,221.33

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Solution

The fourth proportional to 519,659.95, 717,123.69 and 290,221.33 is: 400,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,659.95 : 717,123.69 = 290,221.33 : x
  2. Step 2: Convert to fraction form
    519,659.95/717,123.69 = 290,221.33/x
  3. Step 3: Cross multiply
    519,659.95x = 717,123.69 × 290,221.33
  4. Step 4: Simplify right side
    519,659.95x = 208,124,586,049.58
  5. Step 5: Solve for x
    x = 208,124,586,049.58/519,659.95
  6. Step 6: Final answer
    x = 400,501.49

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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.