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Finding the Fourth Proportional to 257,157.84, 385,369.22 and 144,601.83

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Solution

The fourth proportional to 257,157.84, 385,369.22 and 144,601.83 is: 216,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,157.84 : 385,369.22 = 144,601.83 : x
  2. Step 2: Convert to fraction form
    257,157.84/385,369.22 = 144,601.83/x
  3. Step 3: Cross multiply
    257,157.84x = 385,369.22 × 144,601.83
  4. Step 4: Simplify right side
    257,157.84x = 55,725,094,437.67
  5. Step 5: Solve for x
    x = 55,725,094,437.67/257,157.84
  6. Step 6: Final answer
    x = 216,696.07

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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.