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Finding the Fourth Proportional to 309,111.68, 463,594.80 and 84,418.76

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Solution

The fourth proportional to 309,111.68, 463,594.80 and 84,418.76 is: 126,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,111.68 : 463,594.80 = 84,418.76 : x
  2. Step 2: Convert to fraction form
    309,111.68/463,594.80 = 84,418.76/x
  3. Step 3: Cross multiply
    309,111.68x = 463,594.80 × 84,418.76
  4. Step 4: Simplify right side
    309,111.68x = 39,136,098,158.45
  5. Step 5: Solve for x
    x = 39,136,098,158.45/309,111.68
  6. Step 6: Final answer
    x = 126,608.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.