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Finding the Fourth Proportional to 507,889.96, 761,826.48 and 123,642.88

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Solution

The fourth proportional to 507,889.96, 761,826.48 and 123,642.88 is: 185,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,889.96 : 761,826.48 = 123,642.88 : x
  2. Step 2: Convert to fraction form
    507,889.96/761,826.48 = 123,642.88/x
  3. Step 3: Cross multiply
    507,889.96x = 761,826.48 × 123,642.88
  4. Step 4: Simplify right side
    507,889.96x = 94,194,420,047.46
  5. Step 5: Solve for x
    x = 94,194,420,047.46/507,889.96
  6. Step 6: Final answer
    x = 185,462.26

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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.