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Finding the Fourth Proportional to 361,818.18, 542,744.28 and 298,521

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Solution

The fourth proportional to 361,818.18, 542,744.28 and 298,521 is: 447,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,818.18 : 542,744.28 = 298,521 : x
  2. Step 2: Convert to fraction form
    361,818.18/542,744.28 = 298,521/x
  3. Step 3: Cross multiply
    361,818.18x = 542,744.28 × 298,521
  4. Step 4: Simplify right side
    361,818.18x = 162,020,565,209.88
  5. Step 5: Solve for x
    x = 162,020,565,209.88/361,818.18
  6. Step 6: Final answer
    x = 447,795.53

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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.