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Finding the Fourth Proportional to 489,684.88, 735,854.10 and 265,211.20

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Solution

The fourth proportional to 489,684.88, 735,854.10 and 265,211.20 is: 398,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,684.88 : 735,854.10 = 265,211.20 : x
  2. Step 2: Convert to fraction form
    489,684.88/735,854.10 = 265,211.20/x
  3. Step 3: Cross multiply
    489,684.88x = 735,854.10 × 265,211.20
  4. Step 4: Simplify right side
    489,684.88x = 195,156,748,885.92
  5. Step 5: Solve for x
    x = 195,156,748,885.92/489,684.88
  6. Step 6: Final answer
    x = 398,535.38

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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.