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Finding the Fourth Proportional to 212,710.10, 319,065.15 and 207,461.30

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Solution

The fourth proportional to 212,710.10, 319,065.15 and 207,461.30 is: 311,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,710.10 : 319,065.15 = 207,461.30 : x
  2. Step 2: Convert to fraction form
    212,710.10/319,065.15 = 207,461.30/x
  3. Step 3: Cross multiply
    212,710.10x = 319,065.15 × 207,461.30
  4. Step 4: Simplify right side
    212,710.10x = 66,193,670,803.70
  5. Step 5: Solve for x
    x = 66,193,670,803.70/212,710.10
  6. Step 6: Final answer
    x = 311,191.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.