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Finding the Fourth Proportional to 520,394, 718,144.92 and 290,959.46

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Solution

The fourth proportional to 520,394, 718,144.92 and 290,959.46 is: 401,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,394 : 718,144.92 = 290,959.46 : x
  2. Step 2: Convert to fraction form
    520,394/718,144.92 = 290,959.46/x
  3. Step 3: Cross multiply
    520,394x = 718,144.92 × 290,959.46
  4. Step 4: Simplify right side
    520,394x = 208,951,058,124.94
  5. Step 5: Solve for x
    x = 208,951,058,124.94/520,394
  6. Step 6: Final answer
    x = 401,524.73

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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.