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Finding the Fourth Proportional to 386,483.20, 579,825.60 and 149,833.60

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Solution

The fourth proportional to 386,483.20, 579,825.60 and 149,833.60 is: 224,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,483.20 : 579,825.60 = 149,833.60 : x
  2. Step 2: Convert to fraction form
    386,483.20/579,825.60 = 149,833.60/x
  3. Step 3: Cross multiply
    386,483.20x = 579,825.60 × 149,833.60
  4. Step 4: Simplify right side
    386,483.20x = 86,877,357,020.16
  5. Step 5: Solve for x
    x = 86,877,357,020.16/386,483.20
  6. Step 6: Final answer
    x = 224,789.48

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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.