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Finding the Fourth Proportional to 380,901.81, 525,682.11 and 217,582.76

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Solution

The fourth proportional to 380,901.81, 525,682.11 and 217,582.76 is: 300,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,901.81 : 525,682.11 = 217,582.76 : x
  2. Step 2: Convert to fraction form
    380,901.81/525,682.11 = 217,582.76/x
  3. Step 3: Cross multiply
    380,901.81x = 525,682.11 × 217,582.76
  4. Step 4: Simplify right side
    380,901.81x = 114,379,365,520.91
  5. Step 5: Solve for x
    x = 114,379,365,520.91/380,901.81
  6. Step 6: Final answer
    x = 300,285.70

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1.5x scale

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.