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Finding the Fourth Proportional to 385,803.68, 532,403.28 and 213,721.10

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Solution

The fourth proportional to 385,803.68, 532,403.28 and 213,721.10 is: 294,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,803.68 : 532,403.28 = 213,721.10 : x
  2. Step 2: Convert to fraction form
    385,803.68/532,403.28 = 213,721.10/x
  3. Step 3: Cross multiply
    385,803.68x = 532,403.28 × 213,721.10
  4. Step 4: Simplify right side
    385,803.68x = 113,785,814,645.21
  5. Step 5: Solve for x
    x = 113,785,814,645.21/385,803.68
  6. Step 6: Final answer
    x = 294,931.91

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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.