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Finding the Fourth Proportional to 313,704.69, 432,915.21 and 170,464.74

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Solution

The fourth proportional to 313,704.69, 432,915.21 and 170,464.74 is: 235,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,704.69 : 432,915.21 = 170,464.74 : x
  2. Step 2: Convert to fraction form
    313,704.69/432,915.21 = 170,464.74/x
  3. Step 3: Cross multiply
    313,704.69x = 432,915.21 × 170,464.74
  4. Step 4: Simplify right side
    313,704.69x = 73,796,778,714.70
  5. Step 5: Solve for x
    x = 73,796,778,714.70/313,704.69
  6. Step 6: Final answer
    x = 235,242.83

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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.