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Finding the Fourth Proportional to 289,842,647.06, 399,984,592.31 and 157,684,589.40

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Solution

The fourth proportional to 289,842,647.06, 399,984,592.31 and 157,684,589.40 is: 217,605,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,842,647.06 : 399,984,592.31 = 157,684,589.40 : x
  2. Step 2: Convert to fraction form
    289,842,647.06/399,984,592.31 = 157,684,589.40/x
  3. Step 3: Cross multiply
    289,842,647.06x = 399,984,592.31 × 157,684,589.40
  4. Step 4: Simplify right side
    289,842,647.06x = 63,071,406,204,728,752
  5. Step 5: Solve for x
    x = 63,071,406,204,728,752/289,842,647.06
  6. Step 6: Final answer
    x = 217,605,679.65

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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.