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Finding the Fourth Proportional to 402,439.60, 603,659.40 and 243,007.30

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Solution

The fourth proportional to 402,439.60, 603,659.40 and 243,007.30 is: 364,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,439.60 : 603,659.40 = 243,007.30 : x
  2. Step 2: Convert to fraction form
    402,439.60/603,659.40 = 243,007.30/x
  3. Step 3: Cross multiply
    402,439.60x = 603,659.40 × 243,007.30
  4. Step 4: Simplify right side
    402,439.60x = 146,693,640,913.62
  5. Step 5: Solve for x
    x = 146,693,640,913.62/402,439.60
  6. Step 6: Final answer
    x = 364,510.95

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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.