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Finding the Fourth Proportional to 412,803.06, 619,205.13 and 113,287.74

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Solution

The fourth proportional to 412,803.06, 619,205.13 and 113,287.74 is: 169,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,803.06 : 619,205.13 = 113,287.74 : x
  2. Step 2: Convert to fraction form
    412,803.06/619,205.13 = 113,287.74/x
  3. Step 3: Cross multiply
    412,803.06x = 619,205.13 × 113,287.74
  4. Step 4: Simplify right side
    412,803.06x = 70,148,349,774.11
  5. Step 5: Solve for x
    x = 70,148,349,774.11/412,803.06
  6. Step 6: Final answer
    x = 169,931.76

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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.