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Finding the Fourth Proportional to 311,495.17, 429,863.34 and 168,255.21

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Solution

The fourth proportional to 311,495.17, 429,863.34 and 168,255.21 is: 232,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,495.17 : 429,863.34 = 168,255.21 : x
  2. Step 2: Convert to fraction form
    311,495.17/429,863.34 = 168,255.21/x
  3. Step 3: Cross multiply
    311,495.17x = 429,863.34 × 168,255.21
  4. Step 4: Simplify right side
    311,495.17x = 72,326,746,880.10
  5. Step 5: Solve for x
    x = 72,326,746,880.10/311,495.17
  6. Step 6: Final answer
    x = 232,192.19

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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.