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Finding the Fourth Proportional to 389,885.86, 583,498.14 and 326,777.24

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Solution

The fourth proportional to 389,885.86, 583,498.14 and 326,777.24 is: 489,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,885.86 : 583,498.14 = 326,777.24 : x
  2. Step 2: Convert to fraction form
    389,885.86/583,498.14 = 326,777.24/x
  3. Step 3: Cross multiply
    389,885.86x = 583,498.14 × 326,777.24
  4. Step 4: Simplify right side
    389,885.86x = 190,673,911,967.66
  5. Step 5: Solve for x
    x = 190,673,911,967.66/389,885.86
  6. Step 6: Final answer
    x = 489,050.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.