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Finding the Fourth Proportional to 298,240.12, 411,437.59 and 201,412.51

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Solution

The fourth proportional to 298,240.12, 411,437.59 and 201,412.51 is: 277,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,240.12 : 411,437.59 = 201,412.51 : x
  2. Step 2: Convert to fraction form
    298,240.12/411,437.59 = 201,412.51/x
  3. Step 3: Cross multiply
    298,240.12x = 411,437.59 × 201,412.51
  4. Step 4: Simplify right side
    298,240.12x = 82,868,677,710.25
  5. Step 5: Solve for x
    x = 82,868,677,710.25/298,240.12
  6. Step 6: Final answer
    x = 277,858.92

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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.