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Finding the Fourth Proportional to 230,904.60, 346,356.90 and 213,189.90

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Solution

The fourth proportional to 230,904.60, 346,356.90 and 213,189.90 is: 319,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,904.60 : 346,356.90 = 213,189.90 : x
  2. Step 2: Convert to fraction form
    230,904.60/346,356.90 = 213,189.90/x
  3. Step 3: Cross multiply
    230,904.60x = 346,356.90 × 213,189.90
  4. Step 4: Simplify right side
    230,904.60x = 73,839,792,875.31
  5. Step 5: Solve for x
    x = 73,839,792,875.31/230,904.60
  6. Step 6: Final answer
    x = 319,784.85

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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.