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Finding the Fourth Proportional to 460,502.40, 690,858.74 and 140,699.78

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Solution

The fourth proportional to 460,502.40, 690,858.74 and 140,699.78 is: 211,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,502.40 : 690,858.74 = 140,699.78 : x
  2. Step 2: Convert to fraction form
    460,502.40/690,858.74 = 140,699.78/x
  3. Step 3: Cross multiply
    460,502.40x = 690,858.74 × 140,699.78
  4. Step 4: Simplify right side
    460,502.40x = 97,203,675,311.90
  5. Step 5: Solve for x
    x = 97,203,675,311.90/460,502.40
  6. Step 6: Final answer
    x = 211,081.80

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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.