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Finding the Fourth Proportional to 276,213.32, 414,320.22 and 118,339.40

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Solution

The fourth proportional to 276,213.32, 414,320.22 and 118,339.40 is: 177,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,213.32 : 414,320.22 = 118,339.40 : x
  2. Step 2: Convert to fraction form
    276,213.32/414,320.22 = 118,339.40/x
  3. Step 3: Cross multiply
    276,213.32x = 414,320.22 × 118,339.40
  4. Step 4: Simplify right side
    276,213.32x = 49,030,406,242.67
  5. Step 5: Solve for x
    x = 49,030,406,242.67/276,213.32
  6. Step 6: Final answer
    x = 177,509.20

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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.