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Finding the Fourth Proportional to 427,642.54, 590,148.26 and 231,409.01

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Solution

The fourth proportional to 427,642.54, 590,148.26 and 231,409.01 is: 319,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,642.54 : 590,148.26 = 231,409.01 : x
  2. Step 2: Convert to fraction form
    427,642.54/590,148.26 = 231,409.01/x
  3. Step 3: Cross multiply
    427,642.54x = 590,148.26 × 231,409.01
  4. Step 4: Simplify right side
    427,642.54x = 136,565,624,599.82
  5. Step 5: Solve for x
    x = 136,565,624,599.82/427,642.54
  6. Step 6: Final answer
    x = 319,345.28

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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.