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Finding the Fourth Proportional to 393,417.44, 542,963.76 and 223,693.28

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Solution

The fourth proportional to 393,417.44, 542,963.76 and 223,693.28 is: 308,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,417.44 : 542,963.76 = 223,693.28 : x
  2. Step 2: Convert to fraction form
    393,417.44/542,963.76 = 223,693.28/x
  3. Step 3: Cross multiply
    393,417.44x = 542,963.76 × 223,693.28
  4. Step 4: Simplify right side
    393,417.44x = 121,457,344,395.53
  5. Step 5: Solve for x
    x = 121,457,344,395.53/393,417.44
  6. Step 6: Final answer
    x = 308,723.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.