Home / 205,248.08-307,872-149,443.28

Finding the Fourth Proportional to 205,248.08, 307,872 and 149,443.28

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Solution

The fourth proportional to 205,248.08, 307,872 and 149,443.28 is: 224,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,248.08 : 307,872 = 149,443.28 : x
  2. Step 2: Convert to fraction form
    205,248.08/307,872 = 149,443.28/x
  3. Step 3: Cross multiply
    205,248.08x = 307,872 × 149,443.28
  4. Step 4: Simplify right side
    205,248.08x = 46,009,401,500.16
  5. Step 5: Solve for x
    x = 46,009,401,500.16/205,248.08
  6. Step 6: Final answer
    x = 224,164.83

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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.