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Finding the Fourth Proportional to 283,398.63, 424,631.38 and 198,018.15

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Solution

The fourth proportional to 283,398.63, 424,631.38 and 198,018.15 is: 296,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,398.63 : 424,631.38 = 198,018.15 : x
  2. Step 2: Convert to fraction form
    283,398.63/424,631.38 = 198,018.15/x
  3. Step 3: Cross multiply
    283,398.63x = 424,631.38 × 198,018.15
  4. Step 4: Simplify right side
    283,398.63x = 84,084,719,309.46
  5. Step 5: Solve for x
    x = 84,084,719,309.46/283,398.63
  6. Step 6: Final answer
    x = 296,701.22

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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.