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Finding the Fourth Proportional to 231,438.87, 319,214.12 and 163,384.90

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Solution

The fourth proportional to 231,438.87, 319,214.12 and 163,384.90 is: 225,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,438.87 : 319,214.12 = 163,384.90 : x
  2. Step 2: Convert to fraction form
    231,438.87/319,214.12 = 163,384.90/x
  3. Step 3: Cross multiply
    231,438.87x = 319,214.12 × 163,384.90
  4. Step 4: Simplify right side
    231,438.87x = 52,154,765,459.83
  5. Step 5: Solve for x
    x = 52,154,765,459.83/231,438.87
  6. Step 6: Final answer
    x = 225,350.07

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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.