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Finding the Fourth Proportional to 508,339.96, 761,977.84 and 171,264.12

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Solution

The fourth proportional to 508,339.96, 761,977.84 and 171,264.12 is: 256,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,339.96 : 761,977.84 = 171,264.12 : x
  2. Step 2: Convert to fraction form
    508,339.96/761,977.84 = 171,264.12/x
  3. Step 3: Cross multiply
    508,339.96x = 761,977.84 × 171,264.12
  4. Step 4: Simplify right side
    508,339.96x = 130,499,464,227.10
  5. Step 5: Solve for x
    x = 130,499,464,227.10/508,339.96
  6. Step 6: Final answer
    x = 256,716.91

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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.