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Finding the Fourth Proportional to 450,048.41, 620,774.16 and 288,647.81

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Solution

The fourth proportional to 450,048.41, 620,774.16 and 288,647.81 is: 398,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,048.41 : 620,774.16 = 288,647.81 : x
  2. Step 2: Convert to fraction form
    450,048.41/620,774.16 = 288,647.81/x
  3. Step 3: Cross multiply
    450,048.41x = 620,774.16 × 288,647.81
  4. Step 4: Simplify right side
    450,048.41x = 179,185,098,684.72
  5. Step 5: Solve for x
    x = 179,185,098,684.72/450,048.41
  6. Step 6: Final answer
    x = 398,146.28

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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.