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Finding the Fourth Proportional to 557,892,074.04, 770,952,866.87 and 418,420,698.00

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Solution

The fourth proportional to 557,892,074.04, 770,952,866.87 and 418,420,698.00 is: 578,216,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,892,074.04 : 770,952,866.87 = 418,420,698.00 : x
  2. Step 2: Convert to fraction form
    557,892,074.04/770,952,866.87 = 418,420,698.00/x
  3. Step 3: Cross multiply
    557,892,074.04x = 770,952,866.87 × 418,420,698.00
  4. Step 4: Simplify right side
    557,892,074.04x = 322,582,636,682,558,464
  5. Step 5: Solve for x
    x = 322,582,636,682,558,464/557,892,074.04
  6. Step 6: Final answer
    x = 578,216,919.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.