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Finding the Fourth Proportional to 998,090, 1,377,398.24 and 545,410.16

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Solution

The fourth proportional to 998,090, 1,377,398.24 and 545,410.16 is: 752,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,090 : 1,377,398.24 = 545,410.16 : x
  2. Step 2: Convert to fraction form
    998,090/1,377,398.24 = 545,410.16/x
  3. Step 3: Cross multiply
    998,090x = 1,377,398.24 × 545,410.16
  4. Step 4: Simplify right side
    998,090x = 751,246,994,462.12
  5. Step 5: Solve for x
    x = 751,246,994,462.12/998,090
  6. Step 6: Final answer
    x = 752,684.62

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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.