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Finding the Fourth Proportional to 285,062.57, 426,741.99 and 172,402.01

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Solution

The fourth proportional to 285,062.57, 426,741.99 and 172,402.01 is: 258,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,062.57 : 426,741.99 = 172,402.01 : x
  2. Step 2: Convert to fraction form
    285,062.57/426,741.99 = 172,402.01/x
  3. Step 3: Cross multiply
    285,062.57x = 426,741.99 × 172,402.01
  4. Step 4: Simplify right side
    285,062.57x = 73,571,174,693.69
  5. Step 5: Solve for x
    x = 73,571,174,693.69/285,062.57
  6. Step 6: Final answer
    x = 258,087.81

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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.