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Finding the Fourth Proportional to 253,125.16, 380,278.20 and 148,018

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Solution

The fourth proportional to 253,125.16, 380,278.20 and 148,018 is: 222,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,125.16 : 380,278.20 = 148,018 : x
  2. Step 2: Convert to fraction form
    253,125.16/380,278.20 = 148,018/x
  3. Step 3: Cross multiply
    253,125.16x = 380,278.20 × 148,018
  4. Step 4: Simplify right side
    253,125.16x = 56,288,018,607.60
  5. Step 5: Solve for x
    x = 56,288,018,607.60/253,125.16
  6. Step 6: Final answer
    x = 222,372.28

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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.