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Finding the Fourth Proportional to 650,813.40, 977,094.90 and 415,200.60

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Solution

The fourth proportional to 650,813.40, 977,094.90 and 415,200.60 is: 623,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,813.40 : 977,094.90 = 415,200.60 : x
  2. Step 2: Convert to fraction form
    650,813.40/977,094.90 = 415,200.60/x
  3. Step 3: Cross multiply
    650,813.40x = 977,094.90 × 415,200.60
  4. Step 4: Simplify right side
    650,813.40x = 405,690,388,736.94
  5. Step 5: Solve for x
    x = 405,690,388,736.94/650,813.40
  6. Step 6: Final answer
    x = 623,359.00

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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.