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Finding the Fourth Proportional to 299,518.60, 413,352.54 and 163,565.20

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Solution

The fourth proportional to 299,518.60, 413,352.54 and 163,565.20 is: 225,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,518.60 : 413,352.54 = 163,565.20 : x
  2. Step 2: Convert to fraction form
    299,518.60/413,352.54 = 163,565.20/x
  3. Step 3: Cross multiply
    299,518.60x = 413,352.54 × 163,565.20
  4. Step 4: Simplify right side
    299,518.60x = 67,610,090,875.61
  5. Step 5: Solve for x
    x = 67,610,090,875.61/299,518.60
  6. Step 6: Final answer
    x = 225,729.19

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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.