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Finding the Fourth Proportional to 557,892,074.61, 770,952,867.64 and 418,420,698.57

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Solution

The fourth proportional to 557,892,074.61, 770,952,867.64 and 418,420,698.57 is: 578,216,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,892,074.61 : 770,952,867.64 = 418,420,698.57 : x
  2. Step 2: Convert to fraction form
    557,892,074.61/770,952,867.64 = 418,420,698.57/x
  3. Step 3: Cross multiply
    557,892,074.61x = 770,952,867.64 × 418,420,698.57
  4. Step 4: Simplify right side
    557,892,074.61x = 322,582,637,443,779,008
  5. Step 5: Solve for x
    x = 322,582,637,443,779,008/557,892,074.61
  6. Step 6: Final answer
    x = 578,216,920.66

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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.