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Finding the Fourth Proportional to 338,478.46, 507,717.69 and 172,383.10

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Solution

The fourth proportional to 338,478.46, 507,717.69 and 172,383.10 is: 258,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,478.46 : 507,717.69 = 172,383.10 : x
  2. Step 2: Convert to fraction form
    338,478.46/507,717.69 = 172,383.10/x
  3. Step 3: Cross multiply
    338,478.46x = 507,717.69 × 172,383.10
  4. Step 4: Simplify right side
    338,478.46x = 87,521,949,327.04
  5. Step 5: Solve for x
    x = 87,521,949,327.04/338,478.46
  6. Step 6: Final answer
    x = 258,574.65

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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.