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Finding the Fourth Proportional to 424,146, 585,309 and 242,851.92

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Solution

The fourth proportional to 424,146, 585,309 and 242,851.92 is: 335,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,146 : 585,309 = 242,851.92 : x
  2. Step 2: Convert to fraction form
    424,146/585,309 = 242,851.92/x
  3. Step 3: Cross multiply
    424,146x = 585,309 × 242,851.92
  4. Step 4: Simplify right side
    424,146x = 142,143,414,443.28
  5. Step 5: Solve for x
    x = 142,143,414,443.28/424,146
  6. Step 6: Final answer
    x = 335,128.50

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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.