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Finding the Fourth Proportional to 393,269.68, 590,495.28 and 224,980

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Solution

The fourth proportional to 393,269.68, 590,495.28 and 224,980 is: 337,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,269.68 : 590,495.28 = 224,980 : x
  2. Step 2: Convert to fraction form
    393,269.68/590,495.28 = 224,980/x
  3. Step 3: Cross multiply
    393,269.68x = 590,495.28 × 224,980
  4. Step 4: Simplify right side
    393,269.68x = 132,849,628,094.40
  5. Step 5: Solve for x
    x = 132,849,628,094.40/393,269.68
  6. Step 6: Final answer
    x = 337,807.96

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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.