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Finding the Fourth Proportional to 259,117.29, 387,798.06 and 159,340.68

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Solution

The fourth proportional to 259,117.29, 387,798.06 and 159,340.68 is: 238,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,117.29 : 387,798.06 = 159,340.68 : x
  2. Step 2: Convert to fraction form
    259,117.29/387,798.06 = 159,340.68/x
  3. Step 3: Cross multiply
    259,117.29x = 387,798.06 × 159,340.68
  4. Step 4: Simplify right side
    259,117.29x = 61,792,006,583.08
  5. Step 5: Solve for x
    x = 61,792,006,583.08/259,117.29
  6. Step 6: Final answer
    x = 238,471.18

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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.