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Finding the Fourth Proportional to 213,006.61, 317,765.53 and 207,215.16

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Solution

The fourth proportional to 213,006.61, 317,765.53 and 207,215.16 is: 309,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,006.61 : 317,765.53 = 207,215.16 : x
  2. Step 2: Convert to fraction form
    213,006.61/317,765.53 = 207,215.16/x
  3. Step 3: Cross multiply
    213,006.61x = 317,765.53 × 207,215.16
  4. Step 4: Simplify right side
    213,006.61x = 65,845,835,141.43
  5. Step 5: Solve for x
    x = 65,845,835,141.43/213,006.61
  6. Step 6: Final answer
    x = 309,125.78

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1.5x scale

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.