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Finding the Fourth Proportional to 212,493.40, 319,215.30 and 177,501.40

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Solution

The fourth proportional to 212,493.40, 319,215.30 and 177,501.40 is: 266,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,493.40 : 319,215.30 = 177,501.40 : x
  2. Step 2: Convert to fraction form
    212,493.40/319,215.30 = 177,501.40/x
  3. Step 3: Cross multiply
    212,493.40x = 319,215.30 × 177,501.40
  4. Step 4: Simplify right side
    212,493.40x = 56,661,162,651.42
  5. Step 5: Solve for x
    x = 56,661,162,651.42/212,493.40
  6. Step 6: Final answer
    x = 266,649.05

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1.5x scale

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.