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Finding the Fourth Proportional to 418,259.93, 627,391.98 and 102,716.87

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Solution

The fourth proportional to 418,259.93, 627,391.98 and 102,716.87 is: 154,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,259.93 : 627,391.98 = 102,716.87 : x
  2. Step 2: Convert to fraction form
    418,259.93/627,391.98 = 102,716.87/x
  3. Step 3: Cross multiply
    418,259.93x = 627,391.98 × 102,716.87
  4. Step 4: Simplify right side
    418,259.93x = 64,443,737,311.74
  5. Step 5: Solve for x
    x = 64,443,737,311.74/418,259.93
  6. Step 6: Final answer
    x = 154,075.81

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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.