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Finding the Fourth Proportional to 314,699.10, 434,308.95 and 178,757.34

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Solution

The fourth proportional to 314,699.10, 434,308.95 and 178,757.34 is: 246,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,699.10 : 434,308.95 = 178,757.34 : x
  2. Step 2: Convert to fraction form
    314,699.10/434,308.95 = 178,757.34/x
  3. Step 3: Cross multiply
    314,699.10x = 434,308.95 × 178,757.34
  4. Step 4: Simplify right side
    314,699.10x = 77,635,912,640.19
  5. Step 5: Solve for x
    x = 77,635,912,640.19/314,699.10
  6. Step 6: Final answer
    x = 246,698.87

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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.