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Finding the Fourth Proportional to 285,509.60, 393,992.72 and 164,655.92

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Solution

The fourth proportional to 285,509.60, 393,992.72 and 164,655.92 is: 227,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,509.60 : 393,992.72 = 164,655.92 : x
  2. Step 2: Convert to fraction form
    285,509.60/393,992.72 = 164,655.92/x
  3. Step 3: Cross multiply
    285,509.60x = 393,992.72 × 164,655.92
  4. Step 4: Simplify right side
    285,509.60x = 64,873,233,784.90
  5. Step 5: Solve for x
    x = 64,873,233,784.90/285,509.60
  6. Step 6: Final answer
    x = 227,219.10

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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.