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Finding the Fourth Proportional to 609,864.20, 914,018.70 and 293,640.20

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Solution

The fourth proportional to 609,864.20, 914,018.70 and 293,640.20 is: 440,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,864.20 : 914,018.70 = 293,640.20 : x
  2. Step 2: Convert to fraction form
    609,864.20/914,018.70 = 293,640.20/x
  3. Step 3: Cross multiply
    609,864.20x = 914,018.70 × 293,640.20
  4. Step 4: Simplify right side
    609,864.20x = 268,392,633,871.74
  5. Step 5: Solve for x
    x = 268,392,633,871.74/609,864.20
  6. Step 6: Final answer
    x = 440,085.90

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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.