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Finding the Fourth Proportional to 645,913.98, 968,969.40 and 330,264.30

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Solution

The fourth proportional to 645,913.98, 968,969.40 and 330,264.30 is: 495,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,913.98 : 968,969.40 = 330,264.30 : x
  2. Step 2: Convert to fraction form
    645,913.98/968,969.40 = 330,264.30/x
  3. Step 3: Cross multiply
    645,913.98x = 968,969.40 × 330,264.30
  4. Step 4: Simplify right side
    645,913.98x = 320,016,000,612.42
  5. Step 5: Solve for x
    x = 320,016,000,612.42/645,913.98
  6. Step 6: Final answer
    x = 495,446.78

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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.