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Finding the Fourth Proportional to 393,660,007.20, 590,490,010.80 and 278,774,272.80

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Solution

The fourth proportional to 393,660,007.20, 590,490,010.80 and 278,774,272.80 is: 418,161,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,660,007.20 : 590,490,010.80 = 278,774,272.80 : x
  2. Step 2: Convert to fraction form
    393,660,007.20/590,490,010.80 = 278,774,272.80/x
  3. Step 3: Cross multiply
    393,660,007.20x = 590,490,010.80 × 278,774,272.80
  4. Step 4: Simplify right side
    393,660,007.20x = 164,613,423,356,434,144
  5. Step 5: Solve for x
    x = 164,613,423,356,434,144/393,660,007.20
  6. Step 6: Final answer
    x = 418,161,409.20

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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.