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Finding the Fourth Proportional to 504,781,609.40, 756,873,815.70 and 262,916,905.40

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Solution

The fourth proportional to 504,781,609.40, 756,873,815.70 and 262,916,905.40 is: 394,219,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,781,609.40 : 756,873,815.70 = 262,916,905.40 : x
  2. Step 2: Convert to fraction form
    504,781,609.40/756,873,815.70 = 262,916,905.40/x
  3. Step 3: Cross multiply
    504,781,609.40x = 756,873,815.70 × 262,916,905.40
  4. Step 4: Simplify right side
    504,781,609.40x = 198,994,921,402,133,952
  5. Step 5: Solve for x
    x = 198,994,921,402,133,952/504,781,609.40
  6. Step 6: Final answer
    x = 394,219,832.29

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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.