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Finding the Fourth Proportional to 314,859.35, 434,506.02 and 178,893.47

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Solution

The fourth proportional to 314,859.35, 434,506.02 and 178,893.47 is: 246,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,859.35 : 434,506.02 = 178,893.47 : x
  2. Step 2: Convert to fraction form
    314,859.35/434,506.02 = 178,893.47/x
  3. Step 3: Cross multiply
    314,859.35x = 434,506.02 × 178,893.47
  4. Step 4: Simplify right side
    314,859.35x = 77,730,289,653.69
  5. Step 5: Solve for x
    x = 77,730,289,653.69/314,859.35
  6. Step 6: Final answer
    x = 246,873.06

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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.