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Finding the Fourth Proportional to 289,830.96, 434,871.60 and 156,804.96

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Solution

The fourth proportional to 289,830.96, 434,871.60 and 156,804.96 is: 235,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,830.96 : 434,871.60 = 156,804.96 : x
  2. Step 2: Convert to fraction form
    289,830.96/434,871.60 = 156,804.96/x
  3. Step 3: Cross multiply
    289,830.96x = 434,871.60 × 156,804.96
  4. Step 4: Simplify right side
    289,830.96x = 68,190,023,843.14
  5. Step 5: Solve for x
    x = 68,190,023,843.14/289,830.96
  6. Step 6: Final answer
    x = 235,275.15

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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.