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Finding the Fourth Proportional to 305,957.98, 421,881.63 and 209,177.60

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Solution

The fourth proportional to 305,957.98, 421,881.63 and 209,177.60 is: 288,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957.98 : 421,881.63 = 209,177.60 : x
  2. Step 2: Convert to fraction form
    305,957.98/421,881.63 = 209,177.60/x
  3. Step 3: Cross multiply
    305,957.98x = 421,881.63 × 209,177.60
  4. Step 4: Simplify right side
    305,957.98x = 88,248,186,847.49
  5. Step 5: Solve for x
    x = 88,248,186,847.49/305,957.98
  6. Step 6: Final answer
    x = 288,432.38

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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.