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Finding the Fourth Proportional to 393,970.64, 590,748.60 and 269,347.28

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Solution

The fourth proportional to 393,970.64, 590,748.60 and 269,347.28 is: 403,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,970.64 : 590,748.60 = 269,347.28 : x
  2. Step 2: Convert to fraction form
    393,970.64/590,748.60 = 269,347.28/x
  3. Step 3: Cross multiply
    393,970.64x = 590,748.60 × 269,347.28
  4. Step 4: Simplify right side
    393,970.64x = 159,116,528,573.81
  5. Step 5: Solve for x
    x = 159,116,528,573.81/393,970.64
  6. Step 6: Final answer
    x = 403,879.15

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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.