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Finding the Fourth Proportional to 673,993,813.80, 1,010,990,720.70 and 648,165,781.20

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Solution

The fourth proportional to 673,993,813.80, 1,010,990,720.70 and 648,165,781.20 is: 972,248,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,993,813.80 : 1,010,990,720.70 = 648,165,781.20 : x
  2. Step 2: Convert to fraction form
    673,993,813.80/1,010,990,720.70 = 648,165,781.20/x
  3. Step 3: Cross multiply
    673,993,813.80x = 1,010,990,720.70 × 648,165,781.20
  4. Step 4: Simplify right side
    673,993,813.80x = 655,289,590,268,466,560
  5. Step 5: Solve for x
    x = 655,289,590,268,466,560/673,993,813.80
  6. Step 6: Final answer
    x = 972,248,671.80

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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.