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Finding the Fourth Proportional to 384,144.86, 530,106.02 and 212,059.13

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Solution

The fourth proportional to 384,144.86, 530,106.02 and 212,059.13 is: 292,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.86 : 530,106.02 = 212,059.13 : x
  2. Step 2: Convert to fraction form
    384,144.86/530,106.02 = 212,059.13/x
  3. Step 3: Cross multiply
    384,144.86x = 530,106.02 × 212,059.13
  4. Step 4: Simplify right side
    384,144.86x = 112,413,821,673.93
  5. Step 5: Solve for x
    x = 112,413,821,673.93/384,144.86
  6. Step 6: Final answer
    x = 292,633.93

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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.