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Finding the Fourth Proportional to 280,172.50, 386,648.84 and 159,324.68

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Solution

The fourth proportional to 280,172.50, 386,648.84 and 159,324.68 is: 219,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,172.50 : 386,648.84 = 159,324.68 : x
  2. Step 2: Convert to fraction form
    280,172.50/386,648.84 = 159,324.68/x
  3. Step 3: Cross multiply
    280,172.50x = 386,648.84 × 159,324.68
  4. Step 4: Simplify right side
    280,172.50x = 61,602,702,705.37
  5. Step 5: Solve for x
    x = 61,602,702,705.37/280,172.50
  6. Step 6: Final answer
    x = 219,874.19

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1.5x scale

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.