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Finding the Fourth Proportional to 358,954.90, 538,432.35 and 209,364.10

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Solution

The fourth proportional to 358,954.90, 538,432.35 and 209,364.10 is: 314,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,954.90 : 538,432.35 = 209,364.10 : x
  2. Step 2: Convert to fraction form
    358,954.90/538,432.35 = 209,364.10/x
  3. Step 3: Cross multiply
    358,954.90x = 538,432.35 × 209,364.10
  4. Step 4: Simplify right side
    358,954.90x = 112,728,404,368.64
  5. Step 5: Solve for x
    x = 112,728,404,368.64/358,954.90
  6. Step 6: Final answer
    x = 314,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.