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Finding the Fourth Proportional to 418,062, 627,197.16 and 122,574

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Solution

The fourth proportional to 418,062, 627,197.16 and 122,574 is: 183,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,062 : 627,197.16 = 122,574 : x
  2. Step 2: Convert to fraction form
    418,062/627,197.16 = 122,574/x
  3. Step 3: Cross multiply
    418,062x = 627,197.16 × 122,574
  4. Step 4: Simplify right side
    418,062x = 76,878,064,689.84
  5. Step 5: Solve for x
    x = 76,878,064,689.84/418,062
  6. Step 6: Final answer
    x = 183,891.54

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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.