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Finding the Fourth Proportional to 1,429,322.97, 1,972,469.55 and 784,784.91

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Solution

The fourth proportional to 1,429,322.97, 1,972,469.55 and 784,784.91 is: 1,083,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,322.97 : 1,972,469.55 = 784,784.91 : x
  2. Step 2: Convert to fraction form
    1,429,322.97/1,972,469.55 = 784,784.91/x
  3. Step 3: Cross multiply
    1,429,322.97x = 1,972,469.55 × 784,784.91
  4. Step 4: Simplify right side
    1,429,322.97x = 1,547,964,338,274.49
  5. Step 5: Solve for x
    x = 1,547,964,338,274.49/1,429,322.97
  6. Step 6: Final answer
    x = 1,083,005.29

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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.