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Finding the Fourth Proportional to 642,431.40, 962,610.30 and 405,349.80

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Solution

The fourth proportional to 642,431.40, 962,610.30 and 405,349.80 is: 607,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,431.40 : 962,610.30 = 405,349.80 : x
  2. Step 2: Convert to fraction form
    642,431.40/962,610.30 = 405,349.80/x
  3. Step 3: Cross multiply
    642,431.40x = 962,610.30 × 405,349.80
  4. Step 4: Simplify right side
    642,431.40x = 390,193,892,582.94
  5. Step 5: Solve for x
    x = 390,193,892,582.94/642,431.40
  6. Step 6: Final answer
    x = 607,370.52

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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.