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Finding the Fourth Proportional to 489,096.32, 674,959.80 and 295,477.11

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Solution

The fourth proportional to 489,096.32, 674,959.80 and 295,477.11 is: 407,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,096.32 : 674,959.80 = 295,477.11 : x
  2. Step 2: Convert to fraction form
    489,096.32/674,959.80 = 295,477.11/x
  3. Step 3: Cross multiply
    489,096.32x = 674,959.80 × 295,477.11
  4. Step 4: Simplify right side
    489,096.32x = 199,435,171,070.18
  5. Step 5: Solve for x
    x = 199,435,171,070.18/489,096.32
  6. Step 6: Final answer
    x = 407,762.57

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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.