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Finding the Fourth Proportional to 497,200.70, 745,801.05 and 308,243.90

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Solution

The fourth proportional to 497,200.70, 745,801.05 and 308,243.90 is: 462,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,200.70 : 745,801.05 = 308,243.90 : x
  2. Step 2: Convert to fraction form
    497,200.70/745,801.05 = 308,243.90/x
  3. Step 3: Cross multiply
    497,200.70x = 745,801.05 × 308,243.90
  4. Step 4: Simplify right side
    497,200.70x = 229,888,624,276.10
  5. Step 5: Solve for x
    x = 229,888,624,276.10/497,200.70
  6. Step 6: Final answer
    x = 462,365.85

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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.