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Finding the Fourth Proportional to 213,005.61, 317,764.04 and 207,214.16

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Solution

The fourth proportional to 213,005.61, 317,764.04 and 207,214.16 is: 309,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,005.61 : 317,764.04 = 207,214.16 : x
  2. Step 2: Convert to fraction form
    213,005.61/317,764.04 = 207,214.16/x
  3. Step 3: Cross multiply
    213,005.61x = 317,764.04 × 207,214.16
  4. Step 4: Simplify right side
    213,005.61x = 65,845,206,778.97
  5. Step 5: Solve for x
    x = 65,845,206,778.97/213,005.61
  6. Step 6: Final answer
    x = 309,124.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.