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Finding the Fourth Proportional to 542,415, 813,622.56 and 209,991

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Solution

The fourth proportional to 542,415, 813,622.56 and 209,991 is: 314,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,415 : 813,622.56 = 209,991 : x
  2. Step 2: Convert to fraction form
    542,415/813,622.56 = 209,991/x
  3. Step 3: Cross multiply
    542,415x = 813,622.56 × 209,991
  4. Step 4: Simplify right side
    542,415x = 170,853,414,996.96
  5. Step 5: Solve for x
    x = 170,853,414,996.96/542,415
  6. Step 6: Final answer
    x = 314,986.52

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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.