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Finding the Fourth Proportional to 508,264.38, 761,380.02 and 305,748.86

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Solution

The fourth proportional to 508,264.38, 761,380.02 and 305,748.86 is: 458,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,264.38 : 761,380.02 = 305,748.86 : x
  2. Step 2: Convert to fraction form
    508,264.38/761,380.02 = 305,748.86/x
  3. Step 3: Cross multiply
    508,264.38x = 761,380.02 × 305,748.86
  4. Step 4: Simplify right side
    508,264.38x = 232,791,069,334.88
  5. Step 5: Solve for x
    x = 232,791,069,334.88/508,264.38
  6. Step 6: Final answer
    x = 458,011.77

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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.