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Finding the Fourth Proportional to 313,922.34, 467,926.26 and 288,728.10

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Solution

The fourth proportional to 313,922.34, 467,926.26 and 288,728.10 is: 430,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,922.34 : 467,926.26 = 288,728.10 : x
  2. Step 2: Convert to fraction form
    313,922.34/467,926.26 = 288,728.10/x
  3. Step 3: Cross multiply
    313,922.34x = 467,926.26 × 288,728.10
  4. Step 4: Simplify right side
    313,922.34x = 135,103,459,989.91
  5. Step 5: Solve for x
    x = 135,103,459,989.91/313,922.34
  6. Step 6: Final answer
    x = 430,372.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.