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Finding the Fourth Proportional to 548,051,572.65, 822,077,358.98 and 257,486,205.90

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Solution

The fourth proportional to 548,051,572.65, 822,077,358.98 and 257,486,205.90 is: 386,229,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,051,572.65 : 822,077,358.98 = 257,486,205.90 : x
  2. Step 2: Convert to fraction form
    548,051,572.65/822,077,358.98 = 257,486,205.90/x
  3. Step 3: Cross multiply
    548,051,572.65x = 822,077,358.98 × 257,486,205.90
  4. Step 4: Simplify right side
    548,051,572.65x = 211,673,580,118,765,088
  5. Step 5: Solve for x
    x = 211,673,580,118,765,088/548,051,572.65
  6. Step 6: Final answer
    x = 386,229,308.85

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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.