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Finding the Fourth Proportional to 285,209.40, 393,465.42 and 171,969.24

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Solution

The fourth proportional to 285,209.40, 393,465.42 and 171,969.24 is: 237,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,209.40 : 393,465.42 = 171,969.24 : x
  2. Step 2: Convert to fraction form
    285,209.40/393,465.42 = 171,969.24/x
  3. Step 3: Cross multiply
    285,209.40x = 393,465.42 × 171,969.24
  4. Step 4: Simplify right side
    285,209.40x = 67,663,949,243.68
  5. Step 5: Solve for x
    x = 67,663,949,243.68/285,209.40
  6. Step 6: Final answer
    x = 237,243.05

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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.