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Finding the Fourth Proportional to 408,354.24, 563,681.28 and 238,642.56

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Solution

The fourth proportional to 408,354.24, 563,681.28 and 238,642.56 is: 329,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,354.24 : 563,681.28 = 238,642.56 : x
  2. Step 2: Convert to fraction form
    408,354.24/563,681.28 = 238,642.56/x
  3. Step 3: Cross multiply
    408,354.24x = 563,681.28 × 238,642.56
  4. Step 4: Simplify right side
    408,354.24x = 134,518,343,683.28
  5. Step 5: Solve for x
    x = 134,518,343,683.28/408,354.24
  6. Step 6: Final answer
    x = 329,415.81

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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.