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Finding the Fourth Proportional to 778,691, 1,074,595.20 and 420,995

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Solution

The fourth proportional to 778,691, 1,074,595.20 and 420,995 is: 580,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,691 : 1,074,595.20 = 420,995 : x
  2. Step 2: Convert to fraction form
    778,691/1,074,595.20 = 420,995/x
  3. Step 3: Cross multiply
    778,691x = 1,074,595.20 × 420,995
  4. Step 4: Simplify right side
    778,691x = 452,399,206,224
  5. Step 5: Solve for x
    x = 452,399,206,224/778,691
  6. Step 6: Final answer
    x = 580,973.98

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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.