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Finding the Fourth Proportional to 309,408.53, 464,113.16 and 84,770.92

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Solution

The fourth proportional to 309,408.53, 464,113.16 and 84,770.92 is: 127,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,408.53 : 464,113.16 = 84,770.92 : x
  2. Step 2: Convert to fraction form
    309,408.53/464,113.16 = 84,770.92/x
  3. Step 3: Cross multiply
    309,408.53x = 464,113.16 × 84,770.92
  4. Step 4: Simplify right side
    309,408.53x = 39,343,296,812.89
  5. Step 5: Solve for x
    x = 39,343,296,812.89/309,408.53
  6. Step 6: Final answer
    x = 127,156.47

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1.5x scale

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.