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Finding the Fourth Proportional to 405,458.88, 558,889.12 and 319,281.16

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Solution

The fourth proportional to 405,458.88, 558,889.12 and 319,281.16 is: 440,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,458.88 : 558,889.12 = 319,281.16 : x
  2. Step 2: Convert to fraction form
    405,458.88/558,889.12 = 319,281.16/x
  3. Step 3: Cross multiply
    405,458.88x = 558,889.12 × 319,281.16
  4. Step 4: Simplify right side
    405,458.88x = 178,442,766,544.98
  5. Step 5: Solve for x
    x = 178,442,766,544.98/405,458.88
  6. Step 6: Final answer
    x = 440,100.77

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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.