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Finding the Fourth Proportional to 302,677.64, 454,042.62 and 78,036.20

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Solution

The fourth proportional to 302,677.64, 454,042.62 and 78,036.20 is: 117,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,677.64 : 454,042.62 = 78,036.20 : x
  2. Step 2: Convert to fraction form
    302,677.64/454,042.62 = 78,036.20/x
  3. Step 3: Cross multiply
    302,677.64x = 454,042.62 × 78,036.20
  4. Step 4: Simplify right side
    302,677.64x = 35,431,760,702.84
  5. Step 5: Solve for x
    x = 35,431,760,702.84/302,677.64
  6. Step 6: Final answer
    x = 117,061.04

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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.