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Finding the Fourth Proportional to 1,322,369.46, 1,983,396.51 and 782,948.34

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Solution

The fourth proportional to 1,322,369.46, 1,983,396.51 and 782,948.34 is: 1,174,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,369.46 : 1,983,396.51 = 782,948.34 : x
  2. Step 2: Convert to fraction form
    1,322,369.46/1,983,396.51 = 782,948.34/x
  3. Step 3: Cross multiply
    1,322,369.46x = 1,983,396.51 × 782,948.34
  4. Step 4: Simplify right side
    1,322,369.46x = 1,552,897,005,066.29
  5. Step 5: Solve for x
    x = 1,552,897,005,066.29/1,322,369.46
  6. Step 6: Final answer
    x = 1,174,329.15

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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.