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Finding the Fourth Proportional to 521,043.44, 719,175.12 and 294,820.16

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Solution

The fourth proportional to 521,043.44, 719,175.12 and 294,820.16 is: 406,928.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,043.44 : 719,175.12 = 294,820.16 : x
  2. Step 2: Convert to fraction form
    521,043.44/719,175.12 = 294,820.16/x
  3. Step 3: Cross multiply
    521,043.44x = 719,175.12 × 294,820.16
  4. Step 4: Simplify right side
    521,043.44x = 212,027,323,946.42
  5. Step 5: Solve for x
    x = 212,027,323,946.42/521,043.44
  6. Step 6: Final answer
    x = 406,928.31

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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.