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Finding the Fourth Proportional to 253,402.80, 349,691.40 and 145,972.50

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Solution

The fourth proportional to 253,402.80, 349,691.40 and 145,972.50 is: 201,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,402.80 : 349,691.40 = 145,972.50 : x
  2. Step 2: Convert to fraction form
    253,402.80/349,691.40 = 145,972.50/x
  3. Step 3: Cross multiply
    253,402.80x = 349,691.40 × 145,972.50
  4. Step 4: Simplify right side
    253,402.80x = 51,045,327,886.50
  5. Step 5: Solve for x
    x = 51,045,327,886.50/253,402.80
  6. Step 6: Final answer
    x = 201,439.48

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1.5x scale

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.