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Finding the Fourth Proportional to 384,145.05, 530,106.28 and 212,059.32

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Solution

The fourth proportional to 384,145.05, 530,106.28 and 212,059.32 is: 292,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,145.05 : 530,106.28 = 212,059.32 : x
  2. Step 2: Convert to fraction form
    384,145.05/530,106.28 = 212,059.32/x
  3. Step 3: Cross multiply
    384,145.05x = 530,106.28 × 212,059.32
  4. Step 4: Simplify right side
    384,145.05x = 112,413,977,264.53
  5. Step 5: Solve for x
    x = 112,413,977,264.53/384,145.05
  6. Step 6: Final answer
    x = 292,634.19

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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.