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Finding the Fourth Proportional to 250,368, 345,507.84 and 144,384

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Solution

The fourth proportional to 250,368, 345,507.84 and 144,384 is: 199,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,368 : 345,507.84 = 144,384 : x
  2. Step 2: Convert to fraction form
    250,368/345,507.84 = 144,384/x
  3. Step 3: Cross multiply
    250,368x = 345,507.84 × 144,384
  4. Step 4: Simplify right side
    250,368x = 49,885,803,970.56
  5. Step 5: Solve for x
    x = 49,885,803,970.56/250,368
  6. Step 6: Final answer
    x = 199,249.92

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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.