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Finding the Fourth Proportional to 1,428,871.36, 1,971,867.96 and 784,351.54

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Solution

The fourth proportional to 1,428,871.36, 1,971,867.96 and 784,351.54 is: 1,082,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,871.36 : 1,971,867.96 = 784,351.54 : x
  2. Step 2: Convert to fraction form
    1,428,871.36/1,971,867.96 = 784,351.54/x
  3. Step 3: Cross multiply
    1,428,871.36x = 1,971,867.96 × 784,351.54
  4. Step 4: Simplify right side
    1,428,871.36x = 1,546,637,671,102.66
  5. Step 5: Solve for x
    x = 1,546,637,671,102.66/1,428,871.36
  6. Step 6: Final answer
    x = 1,082,419.11

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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.