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Finding the Fourth Proportional to 402,532.40, 603,107.40 and 212,711.60

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Solution

The fourth proportional to 402,532.40, 603,107.40 and 212,711.60 is: 318,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,532.40 : 603,107.40 = 212,711.60 : x
  2. Step 2: Convert to fraction form
    402,532.40/603,107.40 = 212,711.60/x
  3. Step 3: Cross multiply
    402,532.40x = 603,107.40 × 212,711.60
  4. Step 4: Simplify right side
    402,532.40x = 128,287,940,025.84
  5. Step 5: Solve for x
    x = 128,287,940,025.84/402,532.40
  6. Step 6: Final answer
    x = 318,702.15

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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.