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Finding the Fourth Proportional to 421,852.86, 582,166.98 and 240,582.15

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Solution

The fourth proportional to 421,852.86, 582,166.98 and 240,582.15 is: 332,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,852.86 : 582,166.98 = 240,582.15 : x
  2. Step 2: Convert to fraction form
    421,852.86/582,166.98 = 240,582.15/x
  3. Step 3: Cross multiply
    421,852.86x = 582,166.98 × 240,582.15
  4. Step 4: Simplify right side
    421,852.86x = 140,058,983,707.41
  5. Step 5: Solve for x
    x = 140,058,983,707.41/421,852.86
  6. Step 6: Final answer
    x = 332,009.09

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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.