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Finding the Fourth Proportional to 405,459.41, 558,889.79 and 319,281.66

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Solution

The fourth proportional to 405,459.41, 558,889.79 and 319,281.66 is: 440,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,459.41 : 558,889.79 = 319,281.66 : x
  2. Step 2: Convert to fraction form
    405,459.41/558,889.79 = 319,281.66/x
  3. Step 3: Cross multiply
    405,459.41x = 558,889.79 × 319,281.66
  4. Step 4: Simplify right side
    405,459.41x = 178,443,258,311.84
  5. Step 5: Solve for x
    x = 178,443,258,311.84/405,459.41
  6. Step 6: Final answer
    x = 440,101.42

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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.