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Finding the Fourth Proportional to 302,720.32, 414,728.87 and 291,369.76

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Solution

The fourth proportional to 302,720.32, 414,728.87 and 291,369.76 is: 399,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,720.32 : 414,728.87 = 291,369.76 : x
  2. Step 2: Convert to fraction form
    302,720.32/414,728.87 = 291,369.76/x
  3. Step 3: Cross multiply
    302,720.32x = 414,728.87 × 291,369.76
  4. Step 4: Simplify right side
    302,720.32x = 120,839,451,316.97
  5. Step 5: Solve for x
    x = 120,839,451,316.97/302,720.32
  6. Step 6: Final answer
    x = 399,178.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.