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Finding the Fourth Proportional to 368,824.38, 508,976.91 and 207,680.10

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Solution

The fourth proportional to 368,824.38, 508,976.91 and 207,680.10 is: 286,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,824.38 : 508,976.91 = 207,680.10 : x
  2. Step 2: Convert to fraction form
    368,824.38/508,976.91 = 207,680.10/x
  3. Step 3: Cross multiply
    368,824.38x = 508,976.91 × 207,680.10
  4. Step 4: Simplify right side
    368,824.38x = 105,704,375,566.49
  5. Step 5: Solve for x
    x = 105,704,375,566.49/368,824.38
  6. Step 6: Final answer
    x = 286,598.12

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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.