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Finding the Fourth Proportional to 668,709.29, 1,002,830.64 and 294,528.17

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Solution

The fourth proportional to 668,709.29, 1,002,830.64 and 294,528.17 is: 441,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,709.29 : 1,002,830.64 = 294,528.17 : x
  2. Step 2: Convert to fraction form
    668,709.29/1,002,830.64 = 294,528.17/x
  3. Step 3: Cross multiply
    668,709.29x = 1,002,830.64 × 294,528.17
  4. Step 4: Simplify right side
    668,709.29x = 295,361,873,219.13
  5. Step 5: Solve for x
    x = 295,361,873,219.13/668,709.29
  6. Step 6: Final answer
    x = 441,689.50

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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.