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Finding the Fourth Proportional to 521,206.68, 719,268 and 294,847.32

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Solution

The fourth proportional to 521,206.68, 719,268 and 294,847.32 is: 406,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,206.68 : 719,268 = 294,847.32 : x
  2. Step 2: Convert to fraction form
    521,206.68/719,268 = 294,847.32/x
  3. Step 3: Cross multiply
    521,206.68x = 719,268 × 294,847.32
  4. Step 4: Simplify right side
    521,206.68x = 212,074,242,161.76
  5. Step 5: Solve for x
    x = 212,074,242,161.76/521,206.68
  6. Step 6: Final answer
    x = 406,890.88

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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.