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Finding the Fourth Proportional to 307,875.64, 424,748.46 and 207,340.60

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Solution

The fourth proportional to 307,875.64, 424,748.46 and 207,340.60 is: 286,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,875.64 : 424,748.46 = 207,340.60 : x
  2. Step 2: Convert to fraction form
    307,875.64/424,748.46 = 207,340.60/x
  3. Step 3: Cross multiply
    307,875.64x = 424,748.46 × 207,340.60
  4. Step 4: Simplify right side
    307,875.64x = 88,067,600,545.48
  5. Step 5: Solve for x
    x = 88,067,600,545.48/307,875.64
  6. Step 6: Final answer
    x = 286,049.27

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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.