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Finding the Fourth Proportional to 277,343.88, 382,734.63 and 156,510.78

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Solution

The fourth proportional to 277,343.88, 382,734.63 and 156,510.78 is: 215,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,343.88 : 382,734.63 = 156,510.78 : x
  2. Step 2: Convert to fraction form
    277,343.88/382,734.63 = 156,510.78/x
  3. Step 3: Cross multiply
    277,343.88x = 382,734.63 × 156,510.78
  4. Step 4: Simplify right side
    277,343.88x = 59,902,095,474.31
  5. Step 5: Solve for x
    x = 59,902,095,474.31/277,343.88
  6. Step 6: Final answer
    x = 215,984.92

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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.