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Finding the Fourth Proportional to 869,822,854.80, 1,200,355,737.60 and 478,682,278.80

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Solution

The fourth proportional to 869,822,854.80, 1,200,355,737.60 and 478,682,278.80 is: 660,581,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,822,854.80 : 1,200,355,737.60 = 478,682,278.80 : x
  2. Step 2: Convert to fraction form
    869,822,854.80/1,200,355,737.60 = 478,682,278.80/x
  3. Step 3: Cross multiply
    869,822,854.80x = 1,200,355,737.60 × 478,682,278.80
  4. Step 4: Simplify right side
    869,822,854.80x = 574,589,019,845,022,784
  5. Step 5: Solve for x
    x = 574,589,019,845,022,784/869,822,854.80
  6. Step 6: Final answer
    x = 660,581,653.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.