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Finding the Fourth Proportional to 1,357,734.82, 1,873,465.77 and 784,664.32

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Solution

The fourth proportional to 1,357,734.82, 1,873,465.77 and 784,664.32 is: 1,082,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,734.82 : 1,873,465.77 = 784,664.32 : x
  2. Step 2: Convert to fraction form
    1,357,734.82/1,873,465.77 = 784,664.32/x
  3. Step 3: Cross multiply
    1,357,734.82x = 1,873,465.77 × 784,664.32
  4. Step 4: Simplify right side
    1,357,734.82x = 1,470,041,744,460.33
  5. Step 5: Solve for x
    x = 1,470,041,744,460.33/1,357,734.82
  6. Step 6: Final answer
    x = 1,082,716.39

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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.