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Finding the Fourth Proportional to 515,114.40, 710,876.34 and 300,219.78

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Solution

The fourth proportional to 515,114.40, 710,876.34 and 300,219.78 is: 414,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,114.40 : 710,876.34 = 300,219.78 : x
  2. Step 2: Convert to fraction form
    515,114.40/710,876.34 = 300,219.78/x
  3. Step 3: Cross multiply
    515,114.40x = 710,876.34 × 300,219.78
  4. Step 4: Simplify right side
    515,114.40x = 213,419,138,402.01
  5. Step 5: Solve for x
    x = 213,419,138,402.01/515,114.40
  6. Step 6: Final answer
    x = 414,314.06

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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.