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Finding the Fourth Proportional to 299,285.78, 413,023.15 and 163,328.47

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Solution

The fourth proportional to 299,285.78, 413,023.15 and 163,328.47 is: 225,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,285.78 : 413,023.15 = 163,328.47 : x
  2. Step 2: Convert to fraction form
    299,285.78/413,023.15 = 163,328.47/x
  3. Step 3: Cross multiply
    299,285.78x = 413,023.15 × 163,328.47
  4. Step 4: Simplify right side
    299,285.78x = 67,458,439,533.62
  5. Step 5: Solve for x
    x = 67,458,439,533.62/299,285.78
  6. Step 6: Final answer
    x = 225,398.08

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1.5x scale

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.