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Finding the Fourth Proportional to 312,296.70, 430,966.50 and 169,053.06

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Solution

The fourth proportional to 312,296.70, 430,966.50 and 169,053.06 is: 233,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,296.70 : 430,966.50 = 169,053.06 : x
  2. Step 2: Convert to fraction form
    312,296.70/430,966.50 = 169,053.06/x
  3. Step 3: Cross multiply
    312,296.70x = 430,966.50 × 169,053.06
  4. Step 4: Simplify right side
    312,296.70x = 72,856,205,582.49
  5. Step 5: Solve for x
    x = 72,856,205,582.49/312,296.70
  6. Step 6: Final answer
    x = 233,291.63

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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.