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Finding the Fourth Proportional to 419,597.80, 579,077.22 and 238,342.12

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Solution

The fourth proportional to 419,597.80, 579,077.22 and 238,342.12 is: 328,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,597.80 : 579,077.22 = 238,342.12 : x
  2. Step 2: Convert to fraction form
    419,597.80/579,077.22 = 238,342.12/x
  3. Step 3: Cross multiply
    419,597.80x = 579,077.22 × 238,342.12
  4. Step 4: Simplify right side
    419,597.80x = 138,018,492,258.51
  5. Step 5: Solve for x
    x = 138,018,492,258.51/419,597.80
  6. Step 6: Final answer
    x = 328,930.45

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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.