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Finding the Fourth Proportional to 310,445.37, 465,278.51 and 132,743.79

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Solution

The fourth proportional to 310,445.37, 465,278.51 and 132,743.79 is: 198,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,445.37 : 465,278.51 = 132,743.79 : x
  2. Step 2: Convert to fraction form
    310,445.37/465,278.51 = 132,743.79/x
  3. Step 3: Cross multiply
    310,445.37x = 465,278.51 × 132,743.79
  4. Step 4: Simplify right side
    310,445.37x = 61,762,833,154.81
  5. Step 5: Solve for x
    x = 61,762,833,154.81/310,445.37
  6. Step 6: Final answer
    x = 198,949.12

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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.