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Finding the Fourth Proportional to 310,123.40, 464,889.78 and 99,613.76

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Solution

The fourth proportional to 310,123.40, 464,889.78 and 99,613.76 is: 149,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,123.40 : 464,889.78 = 99,613.76 : x
  2. Step 2: Convert to fraction form
    310,123.40/464,889.78 = 99,613.76/x
  3. Step 3: Cross multiply
    310,123.40x = 464,889.78 × 99,613.76
  4. Step 4: Simplify right side
    310,123.40x = 46,309,418,971.37
  5. Step 5: Solve for x
    x = 46,309,418,971.37/310,123.40
  6. Step 6: Final answer
    x = 149,325.78

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1.5x scale

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.