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Finding the Fourth Proportional to 310,044.20, 465,131.10 and 99,703.40

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Solution

The fourth proportional to 310,044.20, 465,131.10 and 99,703.40 is: 149,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,044.20 : 465,131.10 = 99,703.40 : x
  2. Step 2: Convert to fraction form
    310,044.20/465,131.10 = 99,703.40/x
  3. Step 3: Cross multiply
    310,044.20x = 465,131.10 × 99,703.40
  4. Step 4: Simplify right side
    310,044.20x = 46,375,152,115.74
  5. Step 5: Solve for x
    x = 46,375,152,115.74/310,044.20
  6. Step 6: Final answer
    x = 149,575.94

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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.