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Finding the Fourth Proportional to 378,073,345.80, 565,976,277.90 and 224,640,424.20

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Solution

The fourth proportional to 378,073,345.80, 565,976,277.90 and 224,640,424.20 is: 336,286,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,073,345.80 : 565,976,277.90 = 224,640,424.20 : x
  2. Step 2: Convert to fraction form
    378,073,345.80/565,976,277.90 = 224,640,424.20/x
  3. Step 3: Cross multiply
    378,073,345.80x = 565,976,277.90 × 224,640,424.20
  4. Step 4: Simplify right side
    378,073,345.80x = 127,141,151,154,593,072
  5. Step 5: Solve for x
    x = 127,141,151,154,593,072/378,073,345.80
  6. Step 6: Final answer
    x = 336,286,999.78

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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.