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Finding the Fourth Proportional to 507,305.16, 761,008.08 and 187,540.80

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Solution

The fourth proportional to 507,305.16, 761,008.08 and 187,540.80 is: 281,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,305.16 : 761,008.08 = 187,540.80 : x
  2. Step 2: Convert to fraction form
    507,305.16/761,008.08 = 187,540.80/x
  3. Step 3: Cross multiply
    507,305.16x = 761,008.08 × 187,540.80
  4. Step 4: Simplify right side
    507,305.16x = 142,720,064,129.66
  5. Step 5: Solve for x
    x = 142,720,064,129.66/507,305.16
  6. Step 6: Final answer
    x = 281,329.81

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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.