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Finding the Fourth Proportional to 402,639.60, 603,268.20 and 191,823.60

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Solution

The fourth proportional to 402,639.60, 603,268.20 and 191,823.60 is: 287,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,639.60 : 603,268.20 = 191,823.60 : x
  2. Step 2: Convert to fraction form
    402,639.60/603,268.20 = 191,823.60/x
  3. Step 3: Cross multiply
    402,639.60x = 603,268.20 × 191,823.60
  4. Step 4: Simplify right side
    402,639.60x = 115,721,077,889.52
  5. Step 5: Solve for x
    x = 115,721,077,889.52/402,639.60
  6. Step 6: Final answer
    x = 287,406.10

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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.