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Finding the Fourth Proportional to 315,200.64, 434,961.72 and 171,952.14

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Solution

The fourth proportional to 315,200.64, 434,961.72 and 171,952.14 is: 237,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,200.64 : 434,961.72 = 171,952.14 : x
  2. Step 2: Convert to fraction form
    315,200.64/434,961.72 = 171,952.14/x
  3. Step 3: Cross multiply
    315,200.64x = 434,961.72 × 171,952.14
  4. Step 4: Simplify right side
    315,200.64x = 74,792,598,572.08
  5. Step 5: Solve for x
    x = 74,792,598,572.08/315,200.64
  6. Step 6: Final answer
    x = 237,285.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.