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Finding the Fourth Proportional to 289,972,230.40, 434,958,345.60 and 98,496,006.40

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Solution

The fourth proportional to 289,972,230.40, 434,958,345.60 and 98,496,006.40 is: 147,744,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,972,230.40 : 434,958,345.60 = 98,496,006.40 : x
  2. Step 2: Convert to fraction form
    289,972,230.40/434,958,345.60 = 98,496,006.40/x
  3. Step 3: Cross multiply
    289,972,230.40x = 434,958,345.60 × 98,496,006.40
  4. Step 4: Simplify right side
    289,972,230.40x = 42,841,659,991,951,016
  5. Step 5: Solve for x
    x = 42,841,659,991,951,016/289,972,230.40
  6. Step 6: Final answer
    x = 147,744,009.60

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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.