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Finding the Fourth Proportional to 314,760.56, 434,367.64 and 171,520.16

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Solution

The fourth proportional to 314,760.56, 434,367.64 and 171,520.16 is: 236,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,760.56 : 434,367.64 = 171,520.16 : x
  2. Step 2: Convert to fraction form
    314,760.56/434,367.64 = 171,520.16/x
  3. Step 3: Cross multiply
    314,760.56x = 434,367.64 × 171,520.16
  4. Step 4: Simplify right side
    314,760.56x = 74,502,807,111.62
  5. Step 5: Solve for x
    x = 74,502,807,111.62/314,760.56
  6. Step 6: Final answer
    x = 236,696.77

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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.