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Finding the Fourth Proportional to 207,280.83, 310,664.24 and 147,213.53

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Solution

The fourth proportional to 207,280.83, 310,664.24 and 147,213.53 is: 220,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,280.83 : 310,664.24 = 147,213.53 : x
  2. Step 2: Convert to fraction form
    207,280.83/310,664.24 = 147,213.53/x
  3. Step 3: Cross multiply
    207,280.83x = 310,664.24 × 147,213.53
  4. Step 4: Simplify right side
    207,280.83x = 45,733,977,125.78
  5. Step 5: Solve for x
    x = 45,733,977,125.78/207,280.83
  6. Step 6: Final answer
    x = 220,637.76

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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.