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Finding the Fourth Proportional to 405,099.40, 607,260.30 and 315,092.20

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Solution

The fourth proportional to 405,099.40, 607,260.30 and 315,092.20 is: 472,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,099.40 : 607,260.30 = 315,092.20 : x
  2. Step 2: Convert to fraction form
    405,099.40/607,260.30 = 315,092.20/x
  3. Step 3: Cross multiply
    405,099.40x = 607,260.30 × 315,092.20
  4. Step 4: Simplify right side
    405,099.40x = 191,342,983,899.66
  5. Step 5: Solve for x
    x = 191,342,983,899.66/405,099.40
  6. Step 6: Final answer
    x = 472,335.89

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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.