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Finding the Fourth Proportional to 359,749.92, 496,496.88 and 299,213.76

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Solution

The fourth proportional to 359,749.92, 496,496.88 and 299,213.76 is: 412,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,749.92 : 496,496.88 = 299,213.76 : x
  2. Step 2: Convert to fraction form
    359,749.92/496,496.88 = 299,213.76/x
  3. Step 3: Cross multiply
    359,749.92x = 496,496.88 × 299,213.76
  4. Step 4: Simplify right side
    359,749.92x = 148,558,698,293.07
  5. Step 5: Solve for x
    x = 148,558,698,293.07/359,749.92
  6. Step 6: Final answer
    x = 412,949.91

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1.5x scale

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.