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Finding the Fourth Proportional to 311,436.48, 429,782.31 and 168,196.53

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Solution

The fourth proportional to 311,436.48, 429,782.31 and 168,196.53 is: 232,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,436.48 : 429,782.31 = 168,196.53 : x
  2. Step 2: Convert to fraction form
    311,436.48/429,782.31 = 168,196.53/x
  3. Step 3: Cross multiply
    311,436.48x = 429,782.31 × 168,196.53
  4. Step 4: Simplify right side
    311,436.48x = 72,287,893,197.38
  5. Step 5: Solve for x
    x = 72,287,893,197.38/311,436.48
  6. Step 6: Final answer
    x = 232,111.19

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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.