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Finding the Fourth Proportional to 453,444.20, 680,166.30 and 430,634.60

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Solution

The fourth proportional to 453,444.20, 680,166.30 and 430,634.60 is: 645,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,444.20 : 680,166.30 = 430,634.60 : x
  2. Step 2: Convert to fraction form
    453,444.20/680,166.30 = 430,634.60/x
  3. Step 3: Cross multiply
    453,444.20x = 680,166.30 × 430,634.60
  4. Step 4: Simplify right side
    453,444.20x = 292,903,142,533.98
  5. Step 5: Solve for x
    x = 292,903,142,533.98/453,444.20
  6. Step 6: Final answer
    x = 645,951.90

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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.