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Finding the Fourth Proportional to 499,720, 749,580.72 and 204,232

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Solution

The fourth proportional to 499,720, 749,580.72 and 204,232 is: 306,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,720 : 749,580.72 = 204,232 : x
  2. Step 2: Convert to fraction form
    499,720/749,580.72 = 204,232/x
  3. Step 3: Cross multiply
    499,720x = 749,580.72 × 204,232
  4. Step 4: Simplify right side
    499,720x = 153,088,369,607.04
  5. Step 5: Solve for x
    x = 153,088,369,607.04/499,720
  6. Step 6: Final answer
    x = 306,348.29

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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.