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Finding the Fourth Proportional to 314,804.72, 434,500.63 and 200,060.99

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Solution

The fourth proportional to 314,804.72, 434,500.63 and 200,060.99 is: 276,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,804.72 : 434,500.63 = 200,060.99 : x
  2. Step 2: Convert to fraction form
    314,804.72/434,500.63 = 200,060.99/x
  3. Step 3: Cross multiply
    314,804.72x = 434,500.63 × 200,060.99
  4. Step 4: Simplify right side
    314,804.72x = 86,926,625,712.82
  5. Step 5: Solve for x
    x = 86,926,625,712.82/314,804.72
  6. Step 6: Final answer
    x = 276,128.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.