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Finding the Fourth Proportional to 768,876.34, 1,061,045.13 and 424,735.96

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Solution

The fourth proportional to 768,876.34, 1,061,045.13 and 424,735.96 is: 586,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,876.34 : 1,061,045.13 = 424,735.96 : x
  2. Step 2: Convert to fraction form
    768,876.34/1,061,045.13 = 424,735.96/x
  3. Step 3: Cross multiply
    768,876.34x = 1,061,045.13 × 424,735.96
  4. Step 4: Simplify right side
    768,876.34x = 450,664,021,893.88
  5. Step 5: Solve for x
    x = 450,664,021,893.88/768,876.34
  6. Step 6: Final answer
    x = 586,133.29

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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.