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Finding the Fourth Proportional to 646,410.14, 969,165.51 and 286,385.66

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Solution

The fourth proportional to 646,410.14, 969,165.51 and 286,385.66 is: 429,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,410.14 : 969,165.51 = 286,385.66 : x
  2. Step 2: Convert to fraction form
    646,410.14/969,165.51 = 286,385.66/x
  3. Step 3: Cross multiply
    646,410.14x = 969,165.51 × 286,385.66
  4. Step 4: Simplify right side
    646,410.14x = 277,555,099,384.76
  5. Step 5: Solve for x
    x = 277,555,099,384.76/646,410.14
  6. Step 6: Final answer
    x = 429,379.25

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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.