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Finding the Fourth Proportional to 508,103.46, 761,490.77 and 208,232.96

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Solution

The fourth proportional to 508,103.46, 761,490.77 and 208,232.96 is: 312,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,103.46 : 761,490.77 = 208,232.96 : x
  2. Step 2: Convert to fraction form
    508,103.46/761,490.77 = 208,232.96/x
  3. Step 3: Cross multiply
    508,103.46x = 761,490.77 × 208,232.96
  4. Step 4: Simplify right side
    508,103.46x = 158,567,472,201.16
  5. Step 5: Solve for x
    x = 158,567,472,201.16/508,103.46
  6. Step 6: Final answer
    x = 312,077.14

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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.