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Finding the Fourth Proportional to 454,897, 682,345.50 and 159,409

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Solution

The fourth proportional to 454,897, 682,345.50 and 159,409 is: 239,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,897 : 682,345.50 = 159,409 : x
  2. Step 2: Convert to fraction form
    454,897/682,345.50 = 159,409/x
  3. Step 3: Cross multiply
    454,897x = 682,345.50 × 159,409
  4. Step 4: Simplify right side
    454,897x = 108,772,013,809.50
  5. Step 5: Solve for x
    x = 108,772,013,809.50/454,897
  6. Step 6: Final answer
    x = 239,113.50

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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.