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Finding the Fourth Proportional to 489,232.47, 675,214.61 and 298,356.59

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Solution

The fourth proportional to 489,232.47, 675,214.61 and 298,356.59 is: 411,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,232.47 : 675,214.61 = 298,356.59 : x
  2. Step 2: Convert to fraction form
    489,232.47/675,214.61 = 298,356.59/x
  3. Step 3: Cross multiply
    489,232.47x = 675,214.61 × 298,356.59
  4. Step 4: Simplify right side
    489,232.47x = 201,454,723,689.92
  5. Step 5: Solve for x
    x = 201,454,723,689.92/489,232.47
  6. Step 6: Final answer
    x = 411,777.09

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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.