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Finding the Fourth Proportional to 312,856.02, 469,371.51 and 102,641.58

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Solution

The fourth proportional to 312,856.02, 469,371.51 and 102,641.58 is: 153,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,856.02 : 469,371.51 = 102,641.58 : x
  2. Step 2: Convert to fraction form
    312,856.02/469,371.51 = 102,641.58/x
  3. Step 3: Cross multiply
    312,856.02x = 469,371.51 × 102,641.58
  4. Step 4: Simplify right side
    312,856.02x = 48,177,033,393.39
  5. Step 5: Solve for x
    x = 48,177,033,393.39/312,856.02
  6. Step 6: Final answer
    x = 153,991.07

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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.