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Finding the Fourth Proportional to 406,326.89, 608,929.83 and 306,377.24

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Solution

The fourth proportional to 406,326.89, 608,929.83 and 306,377.24 is: 459,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,326.89 : 608,929.83 = 306,377.24 : x
  2. Step 2: Convert to fraction form
    406,326.89/608,929.83 = 306,377.24/x
  3. Step 3: Cross multiply
    406,326.89x = 608,929.83 × 306,377.24
  4. Step 4: Simplify right side
    406,326.89x = 186,562,242,191.39
  5. Step 5: Solve for x
    x = 186,562,242,191.39/406,326.89
  6. Step 6: Final answer
    x = 459,143.23

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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.