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Finding the Fourth Proportional to 406,000.68, 608,724.23 and 205,935.29

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Solution

The fourth proportional to 406,000.68, 608,724.23 and 205,935.29 is: 308,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,000.68 : 608,724.23 = 205,935.29 : x
  2. Step 2: Convert to fraction form
    406,000.68/608,724.23 = 205,935.29/x
  3. Step 3: Cross multiply
    406,000.68x = 608,724.23 × 205,935.29
  4. Step 4: Simplify right side
    406,000.68x = 125,357,797,622.06
  5. Step 5: Solve for x
    x = 125,357,797,622.06/406,000.68
  6. Step 6: Final answer
    x = 308,762.53

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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.