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Finding the Fourth Proportional to 434,168.62, 650,131.32 and 299,647.78

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Solution

The fourth proportional to 434,168.62, 650,131.32 and 299,647.78 is: 448,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,168.62 : 650,131.32 = 299,647.78 : x
  2. Step 2: Convert to fraction form
    434,168.62/650,131.32 = 299,647.78/x
  3. Step 3: Cross multiply
    434,168.62x = 650,131.32 × 299,647.78
  4. Step 4: Simplify right side
    434,168.62x = 194,810,406,746.47
  5. Step 5: Solve for x
    x = 194,810,406,746.47/434,168.62
  6. Step 6: Final answer
    x = 448,697.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.