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Finding the Fourth Proportional to 397,639.86, 596,722.22 and 210,782.58

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Solution

The fourth proportional to 397,639.86, 596,722.22 and 210,782.58 is: 316,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,639.86 : 596,722.22 = 210,782.58 : x
  2. Step 2: Convert to fraction form
    397,639.86/596,722.22 = 210,782.58/x
  3. Step 3: Cross multiply
    397,639.86x = 596,722.22 × 210,782.58
  4. Step 4: Simplify right side
    397,639.86x = 125,778,649,074.93
  5. Step 5: Solve for x
    x = 125,778,649,074.93/397,639.86
  6. Step 6: Final answer
    x = 316,312.98

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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.