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Finding the Fourth Proportional to 315,945.20, 472,996.20 and 306,729.20

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Solution

The fourth proportional to 315,945.20, 472,996.20 and 306,729.20 is: 459,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,945.20 : 472,996.20 = 306,729.20 : x
  2. Step 2: Convert to fraction form
    315,945.20/472,996.20 = 306,729.20/x
  3. Step 3: Cross multiply
    315,945.20x = 472,996.20 × 306,729.20
  4. Step 4: Simplify right side
    315,945.20x = 145,081,746,029.04
  5. Step 5: Solve for x
    x = 145,081,746,029.04/315,945.20
  6. Step 6: Final answer
    x = 459,199.08

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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.