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Finding the Fourth Proportional to 810,750,256.78, 1,215,810,978.44 and 278,860,545.65

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Solution

The fourth proportional to 810,750,256.78, 1,215,810,978.44 and 278,860,545.65 is: 418,182,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,750,256.78 : 1,215,810,978.44 = 278,860,545.65 : x
  2. Step 2: Convert to fraction form
    810,750,256.78/1,215,810,978.44 = 278,860,545.65/x
  3. Step 3: Cross multiply
    810,750,256.78x = 1,215,810,978.44 × 278,860,545.65
  4. Step 4: Simplify right side
    810,750,256.78x = 339,041,712,858,775,488
  5. Step 5: Solve for x
    x = 339,041,712,858,775,488/810,750,256.78
  6. Step 6: Final answer
    x = 418,182,677.12

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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.