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Finding the Fourth Proportional to 380,295.88, 524,814.50 and 208,210.97

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Solution

The fourth proportional to 380,295.88, 524,814.50 and 208,210.97 is: 287,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,295.88 : 524,814.50 = 208,210.97 : x
  2. Step 2: Convert to fraction form
    380,295.88/524,814.50 = 208,210.97/x
  3. Step 3: Cross multiply
    380,295.88x = 524,814.50 × 208,210.97
  4. Step 4: Simplify right side
    380,295.88x = 109,272,136,115.07
  5. Step 5: Solve for x
    x = 109,272,136,115.07/380,295.88
  6. Step 6: Final answer
    x = 287,334.53

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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.