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Finding the Fourth Proportional to 310,289.40, 465,368.76 and 141,761.88

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Solution

The fourth proportional to 310,289.40, 465,368.76 and 141,761.88 is: 212,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,289.40 : 465,368.76 = 141,761.88 : x
  2. Step 2: Convert to fraction form
    310,289.40/465,368.76 = 141,761.88/x
  3. Step 3: Cross multiply
    310,289.40x = 465,368.76 × 141,761.88
  4. Step 4: Simplify right side
    310,289.40x = 65,971,550,310.87
  5. Step 5: Solve for x
    x = 65,971,550,310.87/310,289.40
  6. Step 6: Final answer
    x = 212,612.97

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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.