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Finding the Fourth Proportional to 489,457.80, 733,690.98 and 331,702.20

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Solution

The fourth proportional to 489,457.80, 733,690.98 and 331,702.20 is: 497,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,457.80 : 733,690.98 = 331,702.20 : x
  2. Step 2: Convert to fraction form
    489,457.80/733,690.98 = 331,702.20/x
  3. Step 3: Cross multiply
    489,457.80x = 733,690.98 × 331,702.20
  4. Step 4: Simplify right side
    489,457.80x = 243,366,912,186.16
  5. Step 5: Solve for x
    x = 243,366,912,186.16/489,457.80
  6. Step 6: Final answer
    x = 497,217.35

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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.