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Finding the Fourth Proportional to 397,285.47, 548,264.70 and 216,009.57

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Solution

The fourth proportional to 397,285.47, 548,264.70 and 216,009.57 is: 298,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,285.47 : 548,264.70 = 216,009.57 : x
  2. Step 2: Convert to fraction form
    397,285.47/548,264.70 = 216,009.57/x
  3. Step 3: Cross multiply
    397,285.47x = 548,264.70 × 216,009.57
  4. Step 4: Simplify right side
    397,285.47x = 118,430,422,093.18
  5. Step 5: Solve for x
    x = 118,430,422,093.18/397,285.47
  6. Step 6: Final answer
    x = 298,099.05

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1.5x scale

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.