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Finding the Fourth Proportional to 253,740.93, 380,492.20 and 147,155.18

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Solution

The fourth proportional to 253,740.93, 380,492.20 and 147,155.18 is: 220,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,740.93 : 380,492.20 = 147,155.18 : x
  2. Step 2: Convert to fraction form
    253,740.93/380,492.20 = 147,155.18/x
  3. Step 3: Cross multiply
    253,740.93x = 380,492.20 × 147,155.18
  4. Step 4: Simplify right side
    253,740.93x = 55,991,398,179.60
  5. Step 5: Solve for x
    x = 55,991,398,179.60/253,740.93
  6. Step 6: Final answer
    x = 220,663.64

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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.