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Finding the Fourth Proportional to 314,632.35, 434,353.59 and 213,193.89

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Solution

The fourth proportional to 314,632.35, 434,353.59 and 213,193.89 is: 294,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,632.35 : 434,353.59 = 213,193.89 : x
  2. Step 2: Convert to fraction form
    314,632.35/434,353.59 = 213,193.89/x
  3. Step 3: Cross multiply
    314,632.35x = 434,353.59 × 213,193.89
  4. Step 4: Simplify right side
    314,632.35x = 92,601,531,487.57
  5. Step 5: Solve for x
    x = 92,601,531,487.57/314,632.35
  6. Step 6: Final answer
    x = 294,316.63

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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.