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Finding the Fourth Proportional to 492,765.80, 680,017.56 and 266,411.30

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Solution

The fourth proportional to 492,765.80, 680,017.56 and 266,411.30 is: 367,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,765.80 : 680,017.56 = 266,411.30 : x
  2. Step 2: Convert to fraction form
    492,765.80/680,017.56 = 266,411.30/x
  3. Step 3: Cross multiply
    492,765.80x = 680,017.56 × 266,411.30
  4. Step 4: Simplify right side
    492,765.80x = 181,164,362,182.43
  5. Step 5: Solve for x
    x = 181,164,362,182.43/492,765.80
  6. Step 6: Final answer
    x = 367,648.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.