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Finding the Fourth Proportional to 878,390,855.82, 1,317,595,733.01 and 264,980,398.86

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Solution

The fourth proportional to 878,390,855.82, 1,317,595,733.01 and 264,980,398.86 is: 397,473,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,390,855.82 : 1,317,595,733.01 = 264,980,398.86 : x
  2. Step 2: Convert to fraction form
    878,390,855.82/1,317,595,733.01 = 264,980,398.86/x
  3. Step 3: Cross multiply
    878,390,855.82x = 1,317,595,733.01 × 264,980,398.86
  4. Step 4: Simplify right side
    878,390,855.82x = 349,137,042,869,223,872
  5. Step 5: Solve for x
    x = 349,137,042,869,223,872/878,390,855.82
  6. Step 6: Final answer
    x = 397,473,448.81

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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.