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Finding the Fourth Proportional to 489,005.32, 674,828.40 and 285,040.84

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Solution

The fourth proportional to 489,005.32, 674,828.40 and 285,040.84 is: 393,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,005.32 : 674,828.40 = 285,040.84 : x
  2. Step 2: Convert to fraction form
    489,005.32/674,828.40 = 285,040.84/x
  3. Step 3: Cross multiply
    489,005.32x = 674,828.40 × 285,040.84
  4. Step 4: Simplify right side
    489,005.32x = 192,353,653,991.86
  5. Step 5: Solve for x
    x = 192,353,653,991.86/489,005.32
  6. Step 6: Final answer
    x = 393,356.98

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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.