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Finding the Fourth Proportional to 253,595.16, 349,981.02 and 140,428.44

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Solution

The fourth proportional to 253,595.16, 349,981.02 and 140,428.44 is: 193,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,595.16 : 349,981.02 = 140,428.44 : x
  2. Step 2: Convert to fraction form
    253,595.16/349,981.02 = 140,428.44/x
  3. Step 3: Cross multiply
    253,595.16x = 349,981.02 × 140,428.44
  4. Step 4: Simplify right side
    253,595.16x = 49,147,288,668.21
  5. Step 5: Solve for x
    x = 49,147,288,668.21/253,595.16
  6. Step 6: Final answer
    x = 193,802.16

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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.