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Finding the Fourth Proportional to 458,161.40, 687,293.30 and 142,615.80

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Solution

The fourth proportional to 458,161.40, 687,293.30 and 142,615.80 is: 213,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,161.40 : 687,293.30 = 142,615.80 : x
  2. Step 2: Convert to fraction form
    458,161.40/687,293.30 = 142,615.80/x
  3. Step 3: Cross multiply
    458,161.40x = 687,293.30 × 142,615.80
  4. Step 4: Simplify right side
    458,161.40x = 98,018,883,814.14
  5. Step 5: Solve for x
    x = 98,018,883,814.14/458,161.40
  6. Step 6: Final answer
    x = 213,939.64

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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.