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Finding the Fourth Proportional to 1,424,631.92, 1,965,977.12 and 771,243.32

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Solution

The fourth proportional to 1,424,631.92, 1,965,977.12 and 771,243.32 is: 1,064,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,631.92 : 1,965,977.12 = 771,243.32 : x
  2. Step 2: Convert to fraction form
    1,424,631.92/1,965,977.12 = 771,243.32/x
  3. Step 3: Cross multiply
    1,424,631.92x = 1,965,977.12 × 771,243.32
  4. Step 4: Simplify right side
    1,424,631.92x = 1,516,246,727,915.89
  5. Step 5: Solve for x
    x = 1,516,246,727,915.89/1,424,631.92
  6. Step 6: Final answer
    x = 1,064,307.71

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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.