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Finding the Fourth Proportional to 656,532.56, 906,236.52 and 408,367.76

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Solution

The fourth proportional to 656,532.56, 906,236.52 and 408,367.76 is: 563,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,532.56 : 906,236.52 = 408,367.76 : x
  2. Step 2: Convert to fraction form
    656,532.56/906,236.52 = 408,367.76/x
  3. Step 3: Cross multiply
    656,532.56x = 906,236.52 × 408,367.76
  4. Step 4: Simplify right side
    656,532.56x = 370,077,777,702.60
  5. Step 5: Solve for x
    x = 370,077,777,702.60/656,532.56
  6. Step 6: Final answer
    x = 563,685.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.