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Finding the Fourth Proportional to 785,159, 1,083,519.48 and 427,463

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Solution

The fourth proportional to 785,159, 1,083,519.48 and 427,463 is: 589,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,159 : 1,083,519.48 = 427,463 : x
  2. Step 2: Convert to fraction form
    785,159/1,083,519.48 = 427,463/x
  3. Step 3: Cross multiply
    785,159x = 1,083,519.48 × 427,463
  4. Step 4: Simplify right side
    785,159x = 463,164,487,479.24
  5. Step 5: Solve for x
    x = 463,164,487,479.24/785,159
  6. Step 6: Final answer
    x = 589,898.97

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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.