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Finding the Fourth Proportional to 309,870.29, 463,808.95 and 159,906.32

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Solution

The fourth proportional to 309,870.29, 463,808.95 and 159,906.32 is: 239,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,870.29 : 463,808.95 = 159,906.32 : x
  2. Step 2: Convert to fraction form
    309,870.29/463,808.95 = 159,906.32/x
  3. Step 3: Cross multiply
    309,870.29x = 463,808.95 × 159,906.32
  4. Step 4: Simplify right side
    309,870.29x = 74,165,982,377.56
  5. Step 5: Solve for x
    x = 74,165,982,377.56/309,870.29
  6. Step 6: Final answer
    x = 239,345.25

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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.