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Finding the Fourth Proportional to 380,898.70, 525,645.48 and 208,813.12

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Solution

The fourth proportional to 380,898.70, 525,645.48 and 208,813.12 is: 288,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,898.70 : 525,645.48 = 208,813.12 : x
  2. Step 2: Convert to fraction form
    380,898.70/525,645.48 = 208,813.12/x
  3. Step 3: Cross multiply
    380,898.70x = 525,645.48 × 208,813.12
  4. Step 4: Simplify right side
    380,898.70x = 109,761,672,692.70
  5. Step 5: Solve for x
    x = 109,761,672,692.70/380,898.70
  6. Step 6: Final answer
    x = 288,165.00

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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.