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Finding the Fourth Proportional to 406,000.34, 608,723.72 and 205,934.95

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Solution

The fourth proportional to 406,000.34, 608,723.72 and 205,934.95 is: 308,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,000.34 : 608,723.72 = 205,934.95 : x
  2. Step 2: Convert to fraction form
    406,000.34/608,723.72 = 205,934.95/x
  3. Step 3: Cross multiply
    406,000.34x = 608,723.72 × 205,934.95
  4. Step 4: Simplify right side
    406,000.34x = 125,357,488,842.01
  5. Step 5: Solve for x
    x = 125,357,488,842.01/406,000.34
  6. Step 6: Final answer
    x = 308,762.03

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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.