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Finding the Fourth Proportional to 299,483.24, 413,280.78 and 172,157.72

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Solution

The fourth proportional to 299,483.24, 413,280.78 and 172,157.72 is: 237,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,483.24 : 413,280.78 = 172,157.72 : x
  2. Step 2: Convert to fraction form
    299,483.24/413,280.78 = 172,157.72/x
  3. Step 3: Cross multiply
    299,483.24x = 413,280.78 × 172,157.72
  4. Step 4: Simplify right side
    299,483.24x = 71,149,476,804.62
  5. Step 5: Solve for x
    x = 71,149,476,804.62/299,483.24
  6. Step 6: Final answer
    x = 237,574.15

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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.