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Finding the Fourth Proportional to 315,509.23, 435,420.39 and 172,282.60

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Solution

The fourth proportional to 315,509.23, 435,420.39 and 172,282.60 is: 237,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,509.23 : 435,420.39 = 172,282.60 : x
  2. Step 2: Convert to fraction form
    315,509.23/435,420.39 = 172,282.60/x
  3. Step 3: Cross multiply
    315,509.23x = 435,420.39 × 172,282.60
  4. Step 4: Simplify right side
    315,509.23x = 75,015,356,882.21
  5. Step 5: Solve for x
    x = 75,015,356,882.21/315,509.23
  6. Step 6: Final answer
    x = 237,759.63

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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.