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Finding the Fourth Proportional to 650,846.90, 977,145.15 and 415,234.10

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Solution

The fourth proportional to 650,846.90, 977,145.15 and 415,234.10 is: 623,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,846.90 : 977,145.15 = 415,234.10 : x
  2. Step 2: Convert to fraction form
    650,846.90/977,145.15 = 415,234.10/x
  3. Step 3: Cross multiply
    650,846.90x = 977,145.15 × 415,234.10
  4. Step 4: Simplify right side
    650,846.90x = 405,743,986,929.62
  5. Step 5: Solve for x
    x = 405,743,986,929.62/650,846.90
  6. Step 6: Final answer
    x = 623,409.26

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1.5x scale

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.