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Finding the Fourth Proportional to 489,473.64, 675,484.02 and 274,629.24

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Solution

The fourth proportional to 489,473.64, 675,484.02 and 274,629.24 is: 378,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,473.64 : 675,484.02 = 274,629.24 : x
  2. Step 2: Convert to fraction form
    489,473.64/675,484.02 = 274,629.24/x
  3. Step 3: Cross multiply
    489,473.64x = 675,484.02 × 274,629.24
  4. Step 4: Simplify right side
    489,473.64x = 185,507,663,044.75
  5. Step 5: Solve for x
    x = 185,507,663,044.75/489,473.64
  6. Step 6: Final answer
    x = 378,994.18

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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.