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Finding the Fourth Proportional to 401,862.91, 602,794.34 and 121,380.16

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Solution

The fourth proportional to 401,862.91, 602,794.34 and 121,380.16 is: 182,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,862.91 : 602,794.34 = 121,380.16 : x
  2. Step 2: Convert to fraction form
    401,862.91/602,794.34 = 121,380.16/x
  3. Step 3: Cross multiply
    401,862.91x = 602,794.34 × 121,380.16
  4. Step 4: Simplify right side
    401,862.91x = 73,167,273,436.29
  5. Step 5: Solve for x
    x = 73,167,273,436.29/401,862.91
  6. Step 6: Final answer
    x = 182,070.23

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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.