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Finding the Fourth Proportional to 322,689.71, 483,970.77 and 306,686.94

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Solution

The fourth proportional to 322,689.71, 483,970.77 and 306,686.94 is: 459,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,689.71 : 483,970.77 = 306,686.94 : x
  2. Step 2: Convert to fraction form
    322,689.71/483,970.77 = 306,686.94/x
  3. Step 3: Cross multiply
    322,689.71x = 483,970.77 × 306,686.94
  4. Step 4: Simplify right side
    322,689.71x = 148,427,514,500.74
  5. Step 5: Solve for x
    x = 148,427,514,500.74/322,689.71
  6. Step 6: Final answer
    x = 459,969.79

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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.