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Finding the Fourth Proportional to 270,686.61, 406,028.09 and 211,572

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Solution

The fourth proportional to 270,686.61, 406,028.09 and 211,572 is: 317,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,686.61 : 406,028.09 = 211,572 : x
  2. Step 2: Convert to fraction form
    270,686.61/406,028.09 = 211,572/x
  3. Step 3: Cross multiply
    270,686.61x = 406,028.09 × 211,572
  4. Step 4: Simplify right side
    270,686.61x = 85,904,175,586.41
  5. Step 5: Solve for x
    x = 85,904,175,586.41/270,686.61
  6. Step 6: Final answer
    x = 317,356.58

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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.