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Finding the Fourth Proportional to 253,808.16, 380,988.96 and 147,308.64

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Solution

The fourth proportional to 253,808.16, 380,988.96 and 147,308.64 is: 221,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808.16 : 380,988.96 = 147,308.64 : x
  2. Step 2: Convert to fraction form
    253,808.16/380,988.96 = 147,308.64/x
  3. Step 3: Cross multiply
    253,808.16x = 380,988.96 × 147,308.64
  4. Step 4: Simplify right side
    253,808.16x = 56,122,965,552.61
  5. Step 5: Solve for x
    x = 56,122,965,552.61/253,808.16
  6. Step 6: Final answer
    x = 221,123.57

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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.