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Finding the Fourth Proportional to 401,498.82, 602,280.99 and 201,716.10

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Solution

The fourth proportional to 401,498.82, 602,280.99 and 201,716.10 is: 302,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,498.82 : 602,280.99 = 201,716.10 : x
  2. Step 2: Convert to fraction form
    401,498.82/602,280.99 = 201,716.10/x
  3. Step 3: Cross multiply
    401,498.82x = 602,280.99 × 201,716.10
  4. Step 4: Simplify right side
    401,498.82x = 121,489,772,406.94
  5. Step 5: Solve for x
    x = 121,489,772,406.94/401,498.82
  6. Step 6: Final answer
    x = 302,590.61

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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.