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Finding the Fourth Proportional to 488,798,766.90, 734,048,455.95 and 259,216,254.90

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Solution

The fourth proportional to 488,798,766.90, 734,048,455.95 and 259,216,254.90 is: 389,275,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,798,766.90 : 734,048,455.95 = 259,216,254.90 : x
  2. Step 2: Convert to fraction form
    488,798,766.90/734,048,455.95 = 259,216,254.90/x
  3. Step 3: Cross multiply
    488,798,766.90x = 734,048,455.95 × 259,216,254.90
  4. Step 4: Simplify right side
    488,798,766.90x = 190,277,291,666,486,624
  5. Step 5: Solve for x
    x = 190,277,291,666,486,624/488,798,766.90
  6. Step 6: Final answer
    x = 389,275,310.31

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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.