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Finding the Fourth Proportional to 1,423,855.83, 1,964,822.34 and 812,034.48

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Solution

The fourth proportional to 1,423,855.83, 1,964,822.34 and 812,034.48 is: 1,120,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,855.83 : 1,964,822.34 = 812,034.48 : x
  2. Step 2: Convert to fraction form
    1,423,855.83/1,964,822.34 = 812,034.48/x
  3. Step 3: Cross multiply
    1,423,855.83x = 1,964,822.34 × 812,034.48
  4. Step 4: Simplify right side
    1,423,855.83x = 1,595,503,487,154.28
  5. Step 5: Solve for x
    x = 1,595,503,487,154.28/1,423,855.83
  6. Step 6: Final answer
    x = 1,120,551.29

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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.