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Finding the Fourth Proportional to 277,209.54, 382,547.31 and 156,351.82

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Solution

The fourth proportional to 277,209.54, 382,547.31 and 156,351.82 is: 215,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,209.54 : 382,547.31 = 156,351.82 : x
  2. Step 2: Convert to fraction form
    277,209.54/382,547.31 = 156,351.82/x
  3. Step 3: Cross multiply
    277,209.54x = 382,547.31 × 156,351.82
  4. Step 4: Simplify right side
    277,209.54x = 59,811,967,329.19
  5. Step 5: Solve for x
    x = 59,811,967,329.19/277,209.54
  6. Step 6: Final answer
    x = 215,764.46

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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.