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Finding the Fourth Proportional to 460,099, 690,259.26 and 144,555.79

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Solution

The fourth proportional to 460,099, 690,259.26 and 144,555.79 is: 216,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,099 : 690,259.26 = 144,555.79 : x
  2. Step 2: Convert to fraction form
    460,099/690,259.26 = 144,555.79/x
  3. Step 3: Cross multiply
    460,099x = 690,259.26 × 144,555.79
  4. Step 4: Simplify right side
    460,099x = 99,780,972,634.12
  5. Step 5: Solve for x
    x = 99,780,972,634.12/460,099
  6. Step 6: Final answer
    x = 216,868.48

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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.