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Finding the Fourth Proportional to 397,642.32, 548,756.52 and 216,364.08

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Solution

The fourth proportional to 397,642.32, 548,756.52 and 216,364.08 is: 298,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,642.32 : 548,756.52 = 216,364.08 : x
  2. Step 2: Convert to fraction form
    397,642.32/548,756.52 = 216,364.08/x
  3. Step 3: Cross multiply
    397,642.32x = 548,756.52 × 216,364.08
  4. Step 4: Simplify right side
    397,642.32x = 118,731,199,593.80
  5. Step 5: Solve for x
    x = 118,731,199,593.80/397,642.32
  6. Step 6: Final answer
    x = 298,587.94

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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.