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Finding the Fourth Proportional to 521,112, 719,134.80 and 294,752.64

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Solution

The fourth proportional to 521,112, 719,134.80 and 294,752.64 is: 406,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,112 : 719,134.80 = 294,752.64 : x
  2. Step 2: Convert to fraction form
    521,112/719,134.80 = 294,752.64/x
  3. Step 3: Cross multiply
    521,112x = 719,134.80 × 294,752.64
  4. Step 4: Simplify right side
    521,112x = 211,966,880,815.87
  5. Step 5: Solve for x
    x = 211,966,880,815.87/521,112
  6. Step 6: Final answer
    x = 406,758.78

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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.