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Finding the Fourth Proportional to 521,267.50, 719,344.29 and 294,913

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Solution

The fourth proportional to 521,267.50, 719,344.29 and 294,913 is: 406,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,267.50 : 719,344.29 = 294,913 : x
  2. Step 2: Convert to fraction form
    521,267.50/719,344.29 = 294,913/x
  3. Step 3: Cross multiply
    521,267.50x = 719,344.29 × 294,913
  4. Step 4: Simplify right side
    521,267.50x = 212,143,982,596.77
  5. Step 5: Solve for x
    x = 212,143,982,596.77/521,267.50
  6. Step 6: Final answer
    x = 406,977.19

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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.