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Finding the Fourth Proportional to 399,167,999.40, 557,474,710.20 and 399,167,999.40

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Solution

The fourth proportional to 399,167,999.40, 557,474,710.20 and 399,167,999.40 is: 557,474,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,167,999.40 : 557,474,710.20 = 399,167,999.40 : x
  2. Step 2: Convert to fraction form
    399,167,999.40/557,474,710.20 = 399,167,999.40/x
  3. Step 3: Cross multiply
    399,167,999.40x = 557,474,710.20 × 399,167,999.40
  4. Step 4: Simplify right side
    399,167,999.40x = 222,526,064,786,628,768
  5. Step 5: Solve for x
    x = 222,526,064,786,628,768/399,167,999.40
  6. Step 6: Final answer
    x = 557,474,710.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.