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Finding the Fourth Proportional to 310,718.76, 465,514.64 and 142,379.70

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Solution

The fourth proportional to 310,718.76, 465,514.64 and 142,379.70 is: 213,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,718.76 : 465,514.64 = 142,379.70 : x
  2. Step 2: Convert to fraction form
    310,718.76/465,514.64 = 142,379.70/x
  3. Step 3: Cross multiply
    310,718.76x = 465,514.64 × 142,379.70
  4. Step 4: Simplify right side
    310,718.76x = 66,279,834,788.81
  5. Step 5: Solve for x
    x = 66,279,834,788.81/310,718.76
  6. Step 6: Final answer
    x = 213,311.34

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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.