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Finding the Fourth Proportional to 253,287.50, 349,502.51 and 144,405.88

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Solution

The fourth proportional to 253,287.50, 349,502.51 and 144,405.88 is: 199,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,287.50 : 349,502.51 = 144,405.88 : x
  2. Step 2: Convert to fraction form
    253,287.50/349,502.51 = 144,405.88/x
  3. Step 3: Cross multiply
    253,287.50x = 349,502.51 × 144,405.88
  4. Step 4: Simplify right side
    253,287.50x = 50,470,217,006.02
  5. Step 5: Solve for x
    x = 50,470,217,006.02/253,287.50
  6. Step 6: Final answer
    x = 199,260.60

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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.