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Finding the Fourth Proportional to 426,045.44, 590,428.16 and 420,032

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Solution

The fourth proportional to 426,045.44, 590,428.16 and 420,032 is: 582,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,045.44 : 590,428.16 = 420,032 : x
  2. Step 2: Convert to fraction form
    426,045.44/590,428.16 = 420,032/x
  3. Step 3: Cross multiply
    426,045.44x = 590,428.16 × 420,032
  4. Step 4: Simplify right side
    426,045.44x = 247,998,720,901.12
  5. Step 5: Solve for x
    x = 247,998,720,901.12/426,045.44
  6. Step 6: Final answer
    x = 582,094.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.