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Finding the Fourth Proportional to 514,072.68, 709,442.40 and 284,629.92

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Solution

The fourth proportional to 514,072.68, 709,442.40 and 284,629.92 is: 392,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,072.68 : 709,442.40 = 284,629.92 : x
  2. Step 2: Convert to fraction form
    514,072.68/709,442.40 = 284,629.92/x
  3. Step 3: Cross multiply
    514,072.68x = 709,442.40 × 284,629.92
  4. Step 4: Simplify right side
    514,072.68x = 201,928,533,556.61
  5. Step 5: Solve for x
    x = 201,928,533,556.61/514,072.68
  6. Step 6: Final answer
    x = 392,801.53

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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.