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Finding the Fourth Proportional to 310,985.87, 429,219.23 and 194,753.34

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Solution

The fourth proportional to 310,985.87, 429,219.23 and 194,753.34 is: 268,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,985.87 : 429,219.23 = 194,753.34 : x
  2. Step 2: Convert to fraction form
    310,985.87/429,219.23 = 194,753.34/x
  3. Step 3: Cross multiply
    310,985.87x = 429,219.23 × 194,753.34
  4. Step 4: Simplify right side
    310,985.87x = 83,591,877,660.96
  5. Step 5: Solve for x
    x = 83,591,877,660.96/310,985.87
  6. Step 6: Final answer
    x = 268,796.39

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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.