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Finding the Fourth Proportional to 257,039.40, 385,904.70 and 163,727.40

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Solution

The fourth proportional to 257,039.40, 385,904.70 and 163,727.40 is: 245,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,039.40 : 385,904.70 = 163,727.40 : x
  2. Step 2: Convert to fraction form
    257,039.40/385,904.70 = 163,727.40/x
  3. Step 3: Cross multiply
    257,039.40x = 385,904.70 × 163,727.40
  4. Step 4: Simplify right side
    257,039.40x = 63,183,173,178.78
  5. Step 5: Solve for x
    x = 63,183,173,178.78/257,039.40
  6. Step 6: Final answer
    x = 245,811.24

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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.