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Finding the Fourth Proportional to 492,494.55, 679,642.47 and 266,140.05

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Solution

The fourth proportional to 492,494.55, 679,642.47 and 266,140.05 is: 367,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,494.55 : 679,642.47 = 266,140.05 : x
  2. Step 2: Convert to fraction form
    492,494.55/679,642.47 = 266,140.05/x
  3. Step 3: Cross multiply
    492,494.55x = 679,642.47 × 266,140.05
  4. Step 4: Simplify right side
    492,494.55x = 180,880,080,947.92
  5. Step 5: Solve for x
    x = 180,880,080,947.92/492,494.55
  6. Step 6: Final answer
    x = 367,273.26

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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.