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Finding the Fourth Proportional to 778,410.54, 1,074,206.06 and 420,714.54

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Solution

The fourth proportional to 778,410.54, 1,074,206.06 and 420,714.54 is: 580,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,410.54 : 1,074,206.06 = 420,714.54 : x
  2. Step 2: Convert to fraction form
    778,410.54/1,074,206.06 = 420,714.54/x
  3. Step 3: Cross multiply
    778,410.54x = 1,074,206.06 × 420,714.54
  4. Step 4: Simplify right side
    778,410.54x = 451,934,108,398.11
  5. Step 5: Solve for x
    x = 451,934,108,398.11/778,410.54
  6. Step 6: Final answer
    x = 580,585.80

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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.