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Finding the Fourth Proportional to 381,139.25, 525,968.51 and 209,053.64

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Solution

The fourth proportional to 381,139.25, 525,968.51 and 209,053.64 is: 288,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,139.25 : 525,968.51 = 209,053.64 : x
  2. Step 2: Convert to fraction form
    381,139.25/525,968.51 = 209,053.64/x
  3. Step 3: Cross multiply
    381,139.25x = 525,968.51 × 209,053.64
  4. Step 4: Simplify right side
    381,139.25x = 109,955,631,810.53
  5. Step 5: Solve for x
    x = 109,955,631,810.53/381,139.25
  6. Step 6: Final answer
    x = 288,492.02

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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.