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Finding the Fourth Proportional to 381,095.80, 525,877.74 and 211,329.40

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Solution

The fourth proportional to 381,095.80, 525,877.74 and 211,329.40 is: 291,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,095.80 : 525,877.74 = 211,329.40 : x
  2. Step 2: Convert to fraction form
    381,095.80/525,877.74 = 211,329.40/x
  3. Step 3: Cross multiply
    381,095.80x = 525,877.74 × 211,329.40
  4. Step 4: Simplify right side
    381,095.80x = 111,133,427,267.56
  5. Step 5: Solve for x
    x = 111,133,427,267.56/381,095.80
  6. Step 6: Final answer
    x = 291,615.46

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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.