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Finding the Fourth Proportional to 312,700.35, 469,150.97 and 102,290.43

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Solution

The fourth proportional to 312,700.35, 469,150.97 and 102,290.43 is: 153,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,700.35 : 469,150.97 = 102,290.43 : x
  2. Step 2: Convert to fraction form
    312,700.35/469,150.97 = 102,290.43/x
  3. Step 3: Cross multiply
    312,700.35x = 469,150.97 × 102,290.43
  4. Step 4: Simplify right side
    312,700.35x = 47,989,653,944.76
  5. Step 5: Solve for x
    x = 47,989,653,944.76/312,700.35
  6. Step 6: Final answer
    x = 153,468.50

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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.