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Finding the Fourth Proportional to 289,662.13, 434,613.09 and 156,385.64

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Solution

The fourth proportional to 289,662.13, 434,613.09 and 156,385.64 is: 234,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,662.13 : 434,613.09 = 156,385.64 : x
  2. Step 2: Convert to fraction form
    289,662.13/434,613.09 = 156,385.64/x
  3. Step 3: Cross multiply
    289,662.13x = 434,613.09 × 156,385.64
  4. Step 4: Simplify right side
    289,662.13x = 67,967,245,460.31
  5. Step 5: Solve for x
    x = 67,967,245,460.31/289,662.13
  6. Step 6: Final answer
    x = 234,643.19

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1.5x scale

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.