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Finding the Fourth Proportional to 385,869, 532,499.40 and 216,103.17

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Solution

The fourth proportional to 385,869, 532,499.40 and 216,103.17 is: 298,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,869 : 532,499.40 = 216,103.17 : x
  2. Step 2: Convert to fraction form
    385,869/532,499.40 = 216,103.17/x
  3. Step 3: Cross multiply
    385,869x = 532,499.40 × 216,103.17
  4. Step 4: Simplify right side
    385,869x = 115,074,808,363.10
  5. Step 5: Solve for x
    x = 115,074,808,363.10/385,869
  6. Step 6: Final answer
    x = 298,222.48

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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.