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Finding the Fourth Proportional to 310,417.80, 465,736.05 and 152,540.70

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Solution

The fourth proportional to 310,417.80, 465,736.05 and 152,540.70 is: 228,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,417.80 : 465,736.05 = 152,540.70 : x
  2. Step 2: Convert to fraction form
    310,417.80/465,736.05 = 152,540.70/x
  3. Step 3: Cross multiply
    310,417.80x = 465,736.05 × 152,540.70
  4. Step 4: Simplify right side
    310,417.80x = 71,043,703,082.24
  5. Step 5: Solve for x
    x = 71,043,703,082.24/310,417.80
  6. Step 6: Final answer
    x = 228,864.79

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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.