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Finding the Fourth Proportional to 778,045,295.63, 1,073,699,298 and 420,813,471.19

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Solution

The fourth proportional to 778,045,295.63, 1,073,699,298 and 420,813,471.19 is: 580,720,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,045,295.63 : 1,073,699,298 = 420,813,471.19 : x
  2. Step 2: Convert to fraction form
    778,045,295.63/1,073,699,298 = 420,813,471.19/x
  3. Step 3: Cross multiply
    778,045,295.63x = 1,073,699,298 × 420,813,471.19
  4. Step 4: Simplify right side
    778,045,295.63x = 451,827,128,605,646,208
  5. Step 5: Solve for x
    x = 451,827,128,605,646,208/778,045,295.63
  6. Step 6: Final answer
    x = 580,720,854.10

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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.