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Finding the Fourth Proportional to 345,957.22, 518,998.56 and 156,506.86

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Solution

The fourth proportional to 345,957.22, 518,998.56 and 156,506.86 is: 234,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,957.22 : 518,998.56 = 156,506.86 : x
  2. Step 2: Convert to fraction form
    345,957.22/518,998.56 = 156,506.86/x
  3. Step 3: Cross multiply
    345,957.22x = 518,998.56 × 156,506.86
  4. Step 4: Simplify right side
    345,957.22x = 81,226,834,970.12
  5. Step 5: Solve for x
    x = 81,226,834,970.12/345,957.22
  6. Step 6: Final answer
    x = 234,788.67

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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.