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Finding the Fourth Proportional to 458,696.70, 688,045.05 and 192,648.15

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Solution

The fourth proportional to 458,696.70, 688,045.05 and 192,648.15 is: 288,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,696.70 : 688,045.05 = 192,648.15 : x
  2. Step 2: Convert to fraction form
    458,696.70/688,045.05 = 192,648.15/x
  3. Step 3: Cross multiply
    458,696.70x = 688,045.05 × 192,648.15
  4. Step 4: Simplify right side
    458,696.70x = 132,550,605,999.16
  5. Step 5: Solve for x
    x = 132,550,605,999.16/458,696.70
  6. Step 6: Final answer
    x = 288,972.23

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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.