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Finding the Fourth Proportional to 257,596.71, 385,894.72 and 144,933.40

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Solution

The fourth proportional to 257,596.71, 385,894.72 and 144,933.40 is: 217,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,596.71 : 385,894.72 = 144,933.40 : x
  2. Step 2: Convert to fraction form
    257,596.71/385,894.72 = 144,933.40/x
  3. Step 3: Cross multiply
    257,596.71x = 385,894.72 × 144,933.40
  4. Step 4: Simplify right side
    257,596.71x = 55,929,033,811.65
  5. Step 5: Solve for x
    x = 55,929,033,811.65/257,596.71
  6. Step 6: Final answer
    x = 217,118.59

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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.