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Finding the Fourth Proportional to 768,872, 1,061,039.12 and 424,731.60

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Solution

The fourth proportional to 768,872, 1,061,039.12 and 424,731.60 is: 586,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,872 : 1,061,039.12 = 424,731.60 : x
  2. Step 2: Convert to fraction form
    768,872/1,061,039.12 = 424,731.60/x
  3. Step 3: Cross multiply
    768,872x = 1,061,039.12 × 424,731.60
  4. Step 4: Simplify right side
    768,872x = 450,656,843,100.19
  5. Step 5: Solve for x
    x = 450,656,843,100.19/768,872
  6. Step 6: Final answer
    x = 586,127.27

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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.