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Finding the Fourth Proportional to 438,426.60, 657,639.90 and 189,594.60

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Solution

The fourth proportional to 438,426.60, 657,639.90 and 189,594.60 is: 284,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,426.60 : 657,639.90 = 189,594.60 : x
  2. Step 2: Convert to fraction form
    438,426.60/657,639.90 = 189,594.60/x
  3. Step 3: Cross multiply
    438,426.60x = 657,639.90 × 189,594.60
  4. Step 4: Simplify right side
    438,426.60x = 124,684,973,784.54
  5. Step 5: Solve for x
    x = 124,684,973,784.54/438,426.60
  6. Step 6: Final answer
    x = 284,391.90

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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.