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Finding the Fourth Proportional to 406,298.40, 608,864.40 and 298,843.80

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Solution

The fourth proportional to 406,298.40, 608,864.40 and 298,843.80 is: 447,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,298.40 : 608,864.40 = 298,843.80 : x
  2. Step 2: Convert to fraction form
    406,298.40/608,864.40 = 298,843.80/x
  3. Step 3: Cross multiply
    406,298.40x = 608,864.40 × 298,843.80
  4. Step 4: Simplify right side
    406,298.40x = 181,955,350,980.72
  5. Step 5: Solve for x
    x = 181,955,350,980.72/406,298.40
  6. Step 6: Final answer
    x = 447,836.74

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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.