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Finding the Fourth Proportional to 389,906.83, 583,529.59 and 326,798.20

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Solution

The fourth proportional to 389,906.83, 583,529.59 and 326,798.20 is: 489,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,906.83 : 583,529.59 = 326,798.20 : x
  2. Step 2: Convert to fraction form
    389,906.83/583,529.59 = 326,798.20/x
  3. Step 3: Cross multiply
    389,906.83x = 583,529.59 × 326,798.20
  4. Step 4: Simplify right side
    389,906.83x = 190,696,419,658.74
  5. Step 5: Solve for x
    x = 190,696,419,658.74/389,906.83
  6. Step 6: Final answer
    x = 489,082.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.