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Finding the Fourth Proportional to 508,103.08, 761,490.21 and 208,232.57

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Solution

The fourth proportional to 508,103.08, 761,490.21 and 208,232.57 is: 312,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,103.08 : 761,490.21 = 208,232.57 : x
  2. Step 2: Convert to fraction form
    508,103.08/761,490.21 = 208,232.57/x
  3. Step 3: Cross multiply
    508,103.08x = 761,490.21 × 208,232.57
  4. Step 4: Simplify right side
    508,103.08x = 158,567,066,142.74
  5. Step 5: Solve for x
    x = 158,567,066,142.74/508,103.08
  6. Step 6: Final answer
    x = 312,076.57

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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.