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Finding the Fourth Proportional to 419,140.17, 628,710.47 and 138,657.42

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Solution

The fourth proportional to 419,140.17, 628,710.47 and 138,657.42 is: 207,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,140.17 : 628,710.47 = 138,657.42 : x
  2. Step 2: Convert to fraction form
    419,140.17/628,710.47 = 138,657.42/x
  3. Step 3: Cross multiply
    419,140.17x = 628,710.47 × 138,657.42
  4. Step 4: Simplify right side
    419,140.17x = 87,175,371,003.90
  5. Step 5: Solve for x
    x = 87,175,371,003.90/419,140.17
  6. Step 6: Final answer
    x = 207,986.20

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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.