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Finding the Fourth Proportional to 378,802.20, 567,809.70 and 154,066.20

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Solution

The fourth proportional to 378,802.20, 567,809.70 and 154,066.20 is: 230,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,802.20 : 567,809.70 = 154,066.20 : x
  2. Step 2: Convert to fraction form
    378,802.20/567,809.70 = 154,066.20/x
  3. Step 3: Cross multiply
    378,802.20x = 567,809.70 × 154,066.20
  4. Step 4: Simplify right side
    378,802.20x = 87,480,282,802.14
  5. Step 5: Solve for x
    x = 87,480,282,802.14/378,802.20
  6. Step 6: Final answer
    x = 230,939.22

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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.