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Finding the Fourth Proportional to 515,720.80, 771,394.20 and 462,795.40

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Solution

The fourth proportional to 515,720.80, 771,394.20 and 462,795.40 is: 692,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,720.80 : 771,394.20 = 462,795.40 : x
  2. Step 2: Convert to fraction form
    515,720.80/771,394.20 = 462,795.40/x
  3. Step 3: Cross multiply
    515,720.80x = 771,394.20 × 462,795.40
  4. Step 4: Simplify right side
    515,720.80x = 356,997,687,346.68
  5. Step 5: Solve for x
    x = 356,997,687,346.68/515,720.80
  6. Step 6: Final answer
    x = 692,230.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.