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Finding the Fourth Proportional to 380,821.36, 525,539.25 and 208,738

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Solution

The fourth proportional to 380,821.36, 525,539.25 and 208,738 is: 288,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,821.36 : 525,539.25 = 208,738 : x
  2. Step 2: Convert to fraction form
    380,821.36/525,539.25 = 208,738/x
  3. Step 3: Cross multiply
    380,821.36x = 525,539.25 × 208,738
  4. Step 4: Simplify right side
    380,821.36x = 109,700,011,966.50
  5. Step 5: Solve for x
    x = 109,700,011,966.50/380,821.36
  6. Step 6: Final answer
    x = 288,061.60

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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.