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Finding the Fourth Proportional to 1,329,893.80, 1,997,793.24 and 824,828.08

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Solution

The fourth proportional to 1,329,893.80, 1,997,793.24 and 824,828.08 is: 1,239,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,893.80 : 1,997,793.24 = 824,828.08 : x
  2. Step 2: Convert to fraction form
    1,329,893.80/1,997,793.24 = 824,828.08/x
  3. Step 3: Cross multiply
    1,329,893.80x = 1,997,793.24 × 824,828.08
  4. Step 4: Simplify right side
    1,329,893.80x = 1,647,835,962,386.18
  5. Step 5: Solve for x
    x = 1,647,835,962,386.18/1,329,893.80
  6. Step 6: Final answer
    x = 1,239,073.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.