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Finding the Fourth Proportional to 460,098, 690,257.76 and 144,554.79

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Solution

The fourth proportional to 460,098, 690,257.76 and 144,554.79 is: 216,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,098 : 690,257.76 = 144,554.79 : x
  2. Step 2: Convert to fraction form
    460,098/690,257.76 = 144,554.79/x
  3. Step 3: Cross multiply
    460,098x = 690,257.76 × 144,554.79
  4. Step 4: Simplify right side
    460,098x = 99,780,065,542.67
  5. Step 5: Solve for x
    x = 99,780,065,542.67/460,098
  6. Step 6: Final answer
    x = 216,866.98

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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.