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Finding the Fourth Proportional to 397,632, 548,734.59 and 216,345.24

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Solution

The fourth proportional to 397,632, 548,734.59 and 216,345.24 is: 298,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,632 : 548,734.59 = 216,345.24 : x
  2. Step 2: Convert to fraction form
    397,632/548,734.59 = 216,345.24/x
  3. Step 3: Cross multiply
    397,632x = 548,734.59 × 216,345.24
  4. Step 4: Simplify right side
    397,632x = 118,716,116,569.85
  5. Step 5: Solve for x
    x = 118,716,116,569.85/397,632
  6. Step 6: Final answer
    x = 298,557.75

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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.