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Finding the Fourth Proportional to 420,012.54, 579,727.80 and 238,830.66

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Solution

The fourth proportional to 420,012.54, 579,727.80 and 238,830.66 is: 329,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,012.54 : 579,727.80 = 238,830.66 : x
  2. Step 2: Convert to fraction form
    420,012.54/579,727.80 = 238,830.66/x
  3. Step 3: Cross multiply
    420,012.54x = 579,727.80 × 238,830.66
  4. Step 4: Simplify right side
    420,012.54x = 138,456,773,094.35
  5. Step 5: Solve for x
    x = 138,456,773,094.35/420,012.54
  6. Step 6: Final answer
    x = 329,649.14

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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.