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Finding the Fourth Proportional to 257,030.40, 385,891.20 and 163,718.40

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Solution

The fourth proportional to 257,030.40, 385,891.20 and 163,718.40 is: 245,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,030.40 : 385,891.20 = 163,718.40 : x
  2. Step 2: Convert to fraction form
    257,030.40/385,891.20 = 163,718.40/x
  3. Step 3: Cross multiply
    257,030.40x = 385,891.20 × 163,718.40
  4. Step 4: Simplify right side
    257,030.40x = 63,177,489,838.08
  5. Step 5: Solve for x
    x = 63,177,489,838.08/257,030.40
  6. Step 6: Final answer
    x = 245,797.73

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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.