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Finding the Fourth Proportional to 253,677.60, 349,743.12 and 218,248.16

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Solution

The fourth proportional to 253,677.60, 349,743.12 and 218,248.16 is: 300,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,677.60 : 349,743.12 = 218,248.16 : x
  2. Step 2: Convert to fraction form
    253,677.60/349,743.12 = 218,248.16/x
  3. Step 3: Cross multiply
    253,677.60x = 349,743.12 × 218,248.16
  4. Step 4: Simplify right side
    253,677.60x = 76,330,792,412.66
  5. Step 5: Solve for x
    x = 76,330,792,412.66/253,677.60
  6. Step 6: Final answer
    x = 300,896.86

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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.