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Finding the Fourth Proportional to 311,656.95, 429,985.53 and 190,672.11

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Solution

The fourth proportional to 311,656.95, 429,985.53 and 190,672.11 is: 263,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,656.95 : 429,985.53 = 190,672.11 : x
  2. Step 2: Convert to fraction form
    311,656.95/429,985.53 = 190,672.11/x
  3. Step 3: Cross multiply
    311,656.95x = 429,985.53 × 190,672.11
  4. Step 4: Simplify right side
    311,656.95x = 81,986,248,274.57
  5. Step 5: Solve for x
    x = 81,986,248,274.57/311,656.95
  6. Step 6: Final answer
    x = 263,065.68

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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.