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Finding the Fourth Proportional to 650,843.40, 977,139.90 and 415,230.60

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Solution

The fourth proportional to 650,843.40, 977,139.90 and 415,230.60 is: 623,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,843.40 : 977,139.90 = 415,230.60 : x
  2. Step 2: Convert to fraction form
    650,843.40/977,139.90 = 415,230.60/x
  3. Step 3: Cross multiply
    650,843.40x = 977,139.90 × 415,230.60
  4. Step 4: Simplify right side
    650,843.40x = 405,738,386,960.94
  5. Step 5: Solve for x
    x = 405,738,386,960.94/650,843.40
  6. Step 6: Final answer
    x = 623,404.01

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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.