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Finding the Fourth Proportional to 314,597.43, 434,143.80 and 171,357.12

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Solution

The fourth proportional to 314,597.43, 434,143.80 and 171,357.12 is: 236,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,597.43 : 434,143.80 = 171,357.12 : x
  2. Step 2: Convert to fraction form
    314,597.43/434,143.80 = 171,357.12/x
  3. Step 3: Cross multiply
    314,597.43x = 434,143.80 × 171,357.12
  4. Step 4: Simplify right side
    314,597.43x = 74,393,631,233.86
  5. Step 5: Solve for x
    x = 74,393,631,233.86/314,597.43
  6. Step 6: Final answer
    x = 236,472.47

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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.