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Finding the Fourth Proportional to 277,456.80, 382,891.72 and 156,603.20

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Solution

The fourth proportional to 277,456.80, 382,891.72 and 156,603.20 is: 216,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,456.80 : 382,891.72 = 156,603.20 : x
  2. Step 2: Convert to fraction form
    277,456.80/382,891.72 = 156,603.20/x
  3. Step 3: Cross multiply
    277,456.80x = 382,891.72 × 156,603.20
  4. Step 4: Simplify right side
    277,456.80x = 59,962,068,605.50
  5. Step 5: Solve for x
    x = 59,962,068,605.50/277,456.80
  6. Step 6: Final answer
    x = 216,113.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.