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Finding the Fourth Proportional to 420,748.89, 580,675.47 and 250,983

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Solution

The fourth proportional to 420,748.89, 580,675.47 and 250,983 is: 346,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,748.89 : 580,675.47 = 250,983 : x
  2. Step 2: Convert to fraction form
    420,748.89/580,675.47 = 250,983/x
  3. Step 3: Cross multiply
    420,748.89x = 580,675.47 × 250,983
  4. Step 4: Simplify right side
    420,748.89x = 145,739,671,487.01
  5. Step 5: Solve for x
    x = 145,739,671,487.01/420,748.89
  6. Step 6: Final answer
    x = 346,381.59

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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.