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Finding the Fourth Proportional to 381,065.30, 525,869.25 and 211,295.06

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Solution

The fourth proportional to 381,065.30, 525,869.25 and 211,295.06 is: 291,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,065.30 : 525,869.25 = 211,295.06 : x
  2. Step 2: Convert to fraction form
    381,065.30/525,869.25 = 211,295.06/x
  3. Step 3: Cross multiply
    381,065.30x = 525,869.25 × 211,295.06
  4. Step 4: Simplify right side
    381,065.30x = 111,113,574,730.91
  5. Step 5: Solve for x
    x = 111,113,574,730.91/381,065.30
  6. Step 6: Final answer
    x = 291,586.70

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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.