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Finding the Fourth Proportional to 451,920.24, 677,863.32 and 136,368.72

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Solution

The fourth proportional to 451,920.24, 677,863.32 and 136,368.72 is: 204,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,920.24 : 677,863.32 = 136,368.72 : x
  2. Step 2: Convert to fraction form
    451,920.24/677,863.32 = 136,368.72/x
  3. Step 3: Cross multiply
    451,920.24x = 677,863.32 × 136,368.72
  4. Step 4: Simplify right side
    451,920.24x = 92,439,353,283.35
  5. Step 5: Solve for x
    x = 92,439,353,283.35/451,920.24
  6. Step 6: Final answer
    x = 204,547.94

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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.