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Finding the Fourth Proportional to 619,643.34, 854,424.80 and 428,324.58

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Solution

The fourth proportional to 619,643.34, 854,424.80 and 428,324.58 is: 590,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,643.34 : 854,424.80 = 428,324.58 : x
  2. Step 2: Convert to fraction form
    619,643.34/854,424.80 = 428,324.58/x
  3. Step 3: Cross multiply
    619,643.34x = 854,424.80 × 428,324.58
  4. Step 4: Simplify right side
    619,643.34x = 365,971,141,459.96
  5. Step 5: Solve for x
    x = 365,971,141,459.96/619,643.34
  6. Step 6: Final answer
    x = 590,615.79

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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.