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Finding the Fourth Proportional to 640,643.40, 959,909.58 and 219,688.20

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Solution

The fourth proportional to 640,643.40, 959,909.58 and 219,688.20 is: 329,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,643.40 : 959,909.58 = 219,688.20 : x
  2. Step 2: Convert to fraction form
    640,643.40/959,909.58 = 219,688.20/x
  3. Step 3: Cross multiply
    640,643.40x = 959,909.58 × 219,688.20
  4. Step 4: Simplify right side
    640,643.40x = 210,880,807,792.96
  5. Step 5: Solve for x
    x = 210,880,807,792.96/640,643.40
  6. Step 6: Final answer
    x = 329,170.34

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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.