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Finding the Fourth Proportional to 408,916.47, 613,330.95 and 142,682.02

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Solution

The fourth proportional to 408,916.47, 613,330.95 and 142,682.02 is: 214,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,916.47 : 613,330.95 = 142,682.02 : x
  2. Step 2: Convert to fraction form
    408,916.47/613,330.95 = 142,682.02/x
  3. Step 3: Cross multiply
    408,916.47x = 613,330.95 × 142,682.02
  4. Step 4: Simplify right side
    408,916.47x = 87,511,301,326.24
  5. Step 5: Solve for x
    x = 87,511,301,326.24/408,916.47
  6. Step 6: Final answer
    x = 214,007.77

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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.