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Finding the Fourth Proportional to 418,261.16, 627,393.84 and 102,718.16

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Solution

The fourth proportional to 418,261.16, 627,393.84 and 102,718.16 is: 154,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,261.16 : 627,393.84 = 102,718.16 : x
  2. Step 2: Convert to fraction form
    418,261.16/627,393.84 = 102,718.16/x
  3. Step 3: Cross multiply
    418,261.16x = 627,393.84 × 102,718.16
  4. Step 4: Simplify right side
    418,261.16x = 64,444,740,840.13
  5. Step 5: Solve for x
    x = 64,444,740,840.13/418,261.16
  6. Step 6: Final answer
    x = 154,077.76

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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.