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Finding the Fourth Proportional to 277,221.66, 382,565.40 and 156,362.58

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Solution

The fourth proportional to 277,221.66, 382,565.40 and 156,362.58 is: 215,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,221.66 : 382,565.40 = 156,362.58 : x
  2. Step 2: Convert to fraction form
    277,221.66/382,565.40 = 156,362.58/x
  3. Step 3: Cross multiply
    277,221.66x = 382,565.40 × 156,362.58
  4. Step 4: Simplify right side
    277,221.66x = 59,818,912,962.73
  5. Step 5: Solve for x
    x = 59,818,912,962.73/277,221.66
  6. Step 6: Final answer
    x = 215,780.08

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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.