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Finding the Fourth Proportional to 489,094.42, 674,701.89 and 319,427.86

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Solution

The fourth proportional to 489,094.42, 674,701.89 and 319,427.86 is: 440,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,094.42 : 674,701.89 = 319,427.86 : x
  2. Step 2: Convert to fraction form
    489,094.42/674,701.89 = 319,427.86/x
  3. Step 3: Cross multiply
    489,094.42x = 674,701.89 × 319,427.86
  4. Step 4: Simplify right side
    489,094.42x = 215,518,580,860.66
  5. Step 5: Solve for x
    x = 215,518,580,860.66/489,094.42
  6. Step 6: Final answer
    x = 440,648.21

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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.