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Finding the Fourth Proportional to 315,765.84, 435,751.70 and 172,522.80

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Solution

The fourth proportional to 315,765.84, 435,751.70 and 172,522.80 is: 238,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,765.84 : 435,751.70 = 172,522.80 : x
  2. Step 2: Convert to fraction form
    315,765.84/435,751.70 = 172,522.80/x
  3. Step 3: Cross multiply
    315,765.84x = 435,751.70 × 172,522.80
  4. Step 4: Simplify right side
    315,765.84x = 75,177,103,388.76
  5. Step 5: Solve for x
    x = 75,177,103,388.76/315,765.84
  6. Step 6: Final answer
    x = 238,078.65

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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.