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Finding the Fourth Proportional to 238,476.60, 358,406.10 and 208,063.80

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Solution

The fourth proportional to 238,476.60, 358,406.10 and 208,063.80 is: 312,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,476.60 : 358,406.10 = 208,063.80 : x
  2. Step 2: Convert to fraction form
    238,476.60/358,406.10 = 208,063.80/x
  3. Step 3: Cross multiply
    238,476.60x = 358,406.10 × 208,063.80
  4. Step 4: Simplify right side
    238,476.60x = 74,571,335,109.18
  5. Step 5: Solve for x
    x = 74,571,335,109.18/238,476.60
  6. Step 6: Final answer
    x = 312,698.75

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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.