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Finding the Fourth Proportional to 309,853.93, 427,488.76 and 202,486.21

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Solution

The fourth proportional to 309,853.93, 427,488.76 and 202,486.21 is: 279,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,853.93 : 427,488.76 = 202,486.21 : x
  2. Step 2: Convert to fraction form
    309,853.93/427,488.76 = 202,486.21/x
  3. Step 3: Cross multiply
    309,853.93x = 427,488.76 × 202,486.21
  4. Step 4: Simplify right side
    309,853.93x = 86,560,578,830.00
  5. Step 5: Solve for x
    x = 86,560,578,830.00/309,853.93
  6. Step 6: Final answer
    x = 279,359.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.