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Finding the Fourth Proportional to 253,124.16, 380,276.70 and 148,017

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Solution

The fourth proportional to 253,124.16, 380,276.70 and 148,017 is: 222,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,124.16 : 380,276.70 = 148,017 : x
  2. Step 2: Convert to fraction form
    253,124.16/380,276.70 = 148,017/x
  3. Step 3: Cross multiply
    253,124.16x = 380,276.70 × 148,017
  4. Step 4: Simplify right side
    253,124.16x = 56,287,416,303.90
  5. Step 5: Solve for x
    x = 56,287,416,303.90/253,124.16
  6. Step 6: Final answer
    x = 222,370.78

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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.