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Finding the Fourth Proportional to 635,298.72, 952,746 and 208,736.20

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Solution

The fourth proportional to 635,298.72, 952,746 and 208,736.20 is: 313,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,298.72 : 952,746 = 208,736.20 : x
  2. Step 2: Convert to fraction form
    635,298.72/952,746 = 208,736.20/x
  3. Step 3: Cross multiply
    635,298.72x = 952,746 × 208,736.20
  4. Step 4: Simplify right side
    635,298.72x = 198,872,579,605.20
  5. Step 5: Solve for x
    x = 198,872,579,605.20/635,298.72
  6. Step 6: Final answer
    x = 313,037.90

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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.