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Finding the Fourth Proportional to 315,214.92, 434,998.08 and 171,978.16

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Solution

The fourth proportional to 315,214.92, 434,998.08 and 171,978.16 is: 237,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,214.92 : 434,998.08 = 171,978.16 : x
  2. Step 2: Convert to fraction form
    315,214.92/434,998.08 = 171,978.16/x
  3. Step 3: Cross multiply
    315,214.92x = 434,998.08 × 171,978.16
  4. Step 4: Simplify right side
    315,214.92x = 74,810,169,401.93
  5. Step 5: Solve for x
    x = 74,810,169,401.93/315,214.92
  6. Step 6: Final answer
    x = 237,330.67

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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.