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Finding the Fourth Proportional to 909,658,557.86, 1,255,328,800.12 and 491,970,843.15

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Solution

The fourth proportional to 909,658,557.86, 1,255,328,800.12 and 491,970,843.15 is: 678,919,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,658,557.86 : 1,255,328,800.12 = 491,970,843.15 : x
  2. Step 2: Convert to fraction form
    909,658,557.86/1,255,328,800.12 = 491,970,843.15/x
  3. Step 3: Cross multiply
    909,658,557.86x = 1,255,328,800.12 × 491,970,843.15
  4. Step 4: Simplify right side
    909,658,557.86x = 617,585,168,233,357,056
  5. Step 5: Solve for x
    x = 617,585,168,233,357,056/909,658,557.86
  6. Step 6: Final answer
    x = 678,919,758.30

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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.