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Finding the Fourth Proportional to 385,867, 532,496.64 and 216,101.17

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Solution

The fourth proportional to 385,867, 532,496.64 and 216,101.17 is: 298,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,867 : 532,496.64 = 216,101.17 : x
  2. Step 2: Convert to fraction form
    385,867/532,496.64 = 216,101.17/x
  3. Step 3: Cross multiply
    385,867x = 532,496.64 × 216,101.17
  4. Step 4: Simplify right side
    385,867x = 115,073,146,925.07
  5. Step 5: Solve for x
    x = 115,073,146,925.07/385,867
  6. Step 6: Final answer
    x = 298,219.72

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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.