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Finding the Fourth Proportional to 253,407.30, 349,697.61 and 145,977

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Solution

The fourth proportional to 253,407.30, 349,697.61 and 145,977 is: 201,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,407.30 : 349,697.61 = 145,977 : x
  2. Step 2: Convert to fraction form
    253,407.30/349,697.61 = 145,977/x
  3. Step 3: Cross multiply
    253,407.30x = 349,697.61 × 145,977
  4. Step 4: Simplify right side
    253,407.30x = 51,047,808,014.97
  5. Step 5: Solve for x
    x = 51,047,808,014.97/253,407.30
  6. Step 6: Final answer
    x = 201,445.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.