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Finding the Fourth Proportional to 824,108.40, 1,234,319.40 and 805,676.40

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Solution

The fourth proportional to 824,108.40, 1,234,319.40 and 805,676.40 is: 1,206,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,108.40 : 1,234,319.40 = 805,676.40 : x
  2. Step 2: Convert to fraction form
    824,108.40/1,234,319.40 = 805,676.40/x
  3. Step 3: Cross multiply
    824,108.40x = 1,234,319.40 × 805,676.40
  4. Step 4: Simplify right side
    824,108.40x = 994,462,010,642.16
  5. Step 5: Solve for x
    x = 994,462,010,642.16/824,108.40
  6. Step 6: Final answer
    x = 1,206,712.62

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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.