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Finding the Fourth Proportional to 381,032.83, 525,705.65 and 219,866.72

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Solution

The fourth proportional to 381,032.83, 525,705.65 and 219,866.72 is: 303,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,032.83 : 525,705.65 = 219,866.72 : x
  2. Step 2: Convert to fraction form
    381,032.83/525,705.65 = 219,866.72/x
  3. Step 3: Cross multiply
    381,032.83x = 525,705.65 × 219,866.72
  4. Step 4: Simplify right side
    381,032.83x = 115,585,177,165.90
  5. Step 5: Solve for x
    x = 115,585,177,165.90/381,032.83
  6. Step 6: Final answer
    x = 303,347.03

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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.