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Finding the Fourth Proportional to 507,173.91, 760,862.33 and 165,640

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Solution

The fourth proportional to 507,173.91, 760,862.33 and 165,640 is: 248,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,173.91 : 760,862.33 = 165,640 : x
  2. Step 2: Convert to fraction form
    507,173.91/760,862.33 = 165,640/x
  3. Step 3: Cross multiply
    507,173.91x = 760,862.33 × 165,640
  4. Step 4: Simplify right side
    507,173.91x = 126,029,235,513.00
  5. Step 5: Solve for x
    x = 126,029,235,513.00/507,173.91
  6. Step 6: Final answer
    x = 248,493.14

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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.