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Finding the Fourth Proportional to 460,499, 690,787.38 and 128,075

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Solution

The fourth proportional to 460,499, 690,787.38 and 128,075 is: 192,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,499 : 690,787.38 = 128,075 : x
  2. Step 2: Convert to fraction form
    460,499/690,787.38 = 128,075/x
  3. Step 3: Cross multiply
    460,499x = 690,787.38 × 128,075
  4. Step 4: Simplify right side
    460,499x = 88,472,593,693.50
  5. Step 5: Solve for x
    x = 88,472,593,693.50/460,499
  6. Step 6: Final answer
    x = 192,123.31

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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.