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Finding the Fourth Proportional to 289,590.40, 434,385.60 and 156,730.15

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Solution

The fourth proportional to 289,590.40, 434,385.60 and 156,730.15 is: 235,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,590.40 : 434,385.60 = 156,730.15 : x
  2. Step 2: Convert to fraction form
    289,590.40/434,385.60 = 156,730.15/x
  3. Step 3: Cross multiply
    289,590.40x = 434,385.60 × 156,730.15
  4. Step 4: Simplify right side
    289,590.40x = 68,081,320,245.84
  5. Step 5: Solve for x
    x = 68,081,320,245.84/289,590.40
  6. Step 6: Final answer
    x = 235,095.23

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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.