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Finding the Fourth Proportional to 311,152.88, 429,399.64 and 190,292

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Solution

The fourth proportional to 311,152.88, 429,399.64 and 190,292 is: 262,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,152.88 : 429,399.64 = 190,292 : x
  2. Step 2: Convert to fraction form
    311,152.88/429,399.64 = 190,292/x
  3. Step 3: Cross multiply
    311,152.88x = 429,399.64 × 190,292
  4. Step 4: Simplify right side
    311,152.88x = 81,711,316,294.88
  5. Step 5: Solve for x
    x = 81,711,316,294.88/311,152.88
  6. Step 6: Final answer
    x = 262,608.26

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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.