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Finding the Fourth Proportional to 433,901.80, 650,852.70 and 307,930.60

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Solution

The fourth proportional to 433,901.80, 650,852.70 and 307,930.60 is: 461,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,901.80 : 650,852.70 = 307,930.60 : x
  2. Step 2: Convert to fraction form
    433,901.80/650,852.70 = 307,930.60/x
  3. Step 3: Cross multiply
    433,901.80x = 650,852.70 × 307,930.60
  4. Step 4: Simplify right side
    433,901.80x = 200,417,462,422.62
  5. Step 5: Solve for x
    x = 200,417,462,422.62/433,901.80
  6. Step 6: Final answer
    x = 461,895.90

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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.