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Finding the Fourth Proportional to 253,812.34, 380,928.75 and 127,488.66

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Solution

The fourth proportional to 253,812.34, 380,928.75 and 127,488.66 is: 191,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,812.34 : 380,928.75 = 127,488.66 : x
  2. Step 2: Convert to fraction form
    253,812.34/380,928.75 = 127,488.66/x
  3. Step 3: Cross multiply
    253,812.34x = 380,928.75 × 127,488.66
  4. Step 4: Simplify right side
    253,812.34x = 48,564,095,892.98
  5. Step 5: Solve for x
    x = 48,564,095,892.98/253,812.34
  6. Step 6: Final answer
    x = 191,338.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.