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Finding the Fourth Proportional to 302,847, 417,937.50 and 168,719.64

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Solution

The fourth proportional to 302,847, 417,937.50 and 168,719.64 is: 232,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,847 : 417,937.50 = 168,719.64 : x
  2. Step 2: Convert to fraction form
    302,847/417,937.50 = 168,719.64/x
  3. Step 3: Cross multiply
    302,847x = 417,937.50 × 168,719.64
  4. Step 4: Simplify right side
    302,847x = 70,514,264,542.50
  5. Step 5: Solve for x
    x = 70,514,264,542.50/302,847
  6. Step 6: Final answer
    x = 232,837.92

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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.