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Finding the Fourth Proportional to 488,797,998.40, 734,047,303.20 and 259,215,486.40

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Solution

The fourth proportional to 488,797,998.40, 734,047,303.20 and 259,215,486.40 is: 389,274,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,797,998.40 : 734,047,303.20 = 259,215,486.40 : x
  2. Step 2: Convert to fraction form
    488,797,998.40/734,047,303.20 = 259,215,486.40/x
  3. Step 3: Cross multiply
    488,797,998.40x = 734,047,303.20 × 259,215,486.40
  4. Step 4: Simplify right side
    488,797,998.40x = 190,276,428,739,596,288
  5. Step 5: Solve for x
    x = 190,276,428,739,596,288/488,797,998.40
  6. Step 6: Final answer
    x = 389,274,156.94

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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.