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Finding the Fourth Proportional to 1,243,471.12, 1,865,206.68 and 822,648.76

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Solution

The fourth proportional to 1,243,471.12, 1,865,206.68 and 822,648.76 is: 1,233,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,471.12 : 1,865,206.68 = 822,648.76 : x
  2. Step 2: Convert to fraction form
    1,243,471.12/1,865,206.68 = 822,648.76/x
  3. Step 3: Cross multiply
    1,243,471.12x = 1,865,206.68 × 822,648.76
  4. Step 4: Simplify right side
    1,243,471.12x = 1,534,409,962,445.72
  5. Step 5: Solve for x
    x = 1,534,409,962,445.72/1,243,471.12
  6. Step 6: Final answer
    x = 1,233,973.14

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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.