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Finding the Fourth Proportional to 405,315.78, 607,645.42 and 168,835.47

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Solution

The fourth proportional to 405,315.78, 607,645.42 and 168,835.47 is: 253,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,315.78 : 607,645.42 = 168,835.47 : x
  2. Step 2: Convert to fraction form
    405,315.78/607,645.42 = 168,835.47/x
  3. Step 3: Cross multiply
    405,315.78x = 607,645.42 × 168,835.47
  4. Step 4: Simplify right side
    405,315.78x = 102,592,100,079.05
  5. Step 5: Solve for x
    x = 102,592,100,079.05/405,315.78
  6. Step 6: Final answer
    x = 253,116.47

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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.