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Finding the Fourth Proportional to 421,235,998.80, 630,720,257.40 and 421,235,998.80

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Solution

The fourth proportional to 421,235,998.80, 630,720,257.40 and 421,235,998.80 is: 630,720,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,235,998.80 : 630,720,257.40 = 421,235,998.80 : x
  2. Step 2: Convert to fraction form
    421,235,998.80/630,720,257.40 = 421,235,998.80/x
  3. Step 3: Cross multiply
    421,235,998.80x = 630,720,257.40 × 421,235,998.80
  4. Step 4: Simplify right side
    421,235,998.80x = 265,682,077,589,282,080
  5. Step 5: Solve for x
    x = 265,682,077,589,282,080/421,235,998.80
  6. Step 6: Final answer
    x = 630,720,257.40

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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.