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Finding the Fourth Proportional to 408,645, 612,967.50 and 113,157

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Solution

The fourth proportional to 408,645, 612,967.50 and 113,157 is: 169,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,645 : 612,967.50 = 113,157 : x
  2. Step 2: Convert to fraction form
    408,645/612,967.50 = 113,157/x
  3. Step 3: Cross multiply
    408,645x = 612,967.50 × 113,157
  4. Step 4: Simplify right side
    408,645x = 69,361,563,397.50
  5. Step 5: Solve for x
    x = 69,361,563,397.50/408,645
  6. Step 6: Final answer
    x = 169,735.50

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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.