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Finding the Fourth Proportional to 507,840.98, 761,861.04 and 187,995.31

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Solution

The fourth proportional to 507,840.98, 761,861.04 and 187,995.31 is: 282,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,840.98 : 761,861.04 = 187,995.31 : x
  2. Step 2: Convert to fraction form
    507,840.98/761,861.04 = 187,995.31/x
  3. Step 3: Cross multiply
    507,840.98x = 761,861.04 × 187,995.31
  4. Step 4: Simplify right side
    507,840.98x = 143,226,299,782.09
  5. Step 5: Solve for x
    x = 143,226,299,782.09/507,840.98
  6. Step 6: Final answer
    x = 282,029.82

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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.