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Finding the Fourth Proportional to 1,407,964.92, 1,942,982.28 and 763,383.12

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Solution

The fourth proportional to 1,407,964.92, 1,942,982.28 and 763,383.12 is: 1,053,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,964.92 : 1,942,982.28 = 763,383.12 : x
  2. Step 2: Convert to fraction form
    1,407,964.92/1,942,982.28 = 763,383.12/x
  3. Step 3: Cross multiply
    1,407,964.92x = 1,942,982.28 × 763,383.12
  4. Step 4: Simplify right side
    1,407,964.92x = 1,483,239,875,011.11
  5. Step 5: Solve for x
    x = 1,483,239,875,011.11/1,407,964.92
  6. Step 6: Final answer
    x = 1,053,463.66

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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.