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Finding the Fourth Proportional to 503,772.88, 695,211.24 and 277,420

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Solution

The fourth proportional to 503,772.88, 695,211.24 and 277,420 is: 382,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,772.88 : 695,211.24 = 277,420 : x
  2. Step 2: Convert to fraction form
    503,772.88/695,211.24 = 277,420/x
  3. Step 3: Cross multiply
    503,772.88x = 695,211.24 × 277,420
  4. Step 4: Simplify right side
    503,772.88x = 192,865,502,200.80
  5. Step 5: Solve for x
    x = 192,865,502,200.80/503,772.88
  6. Step 6: Final answer
    x = 382,842.17

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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.