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Finding the Fourth Proportional to 450,148.54, 620,911.74 and 288,747.94

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Solution

The fourth proportional to 450,148.54, 620,911.74 and 288,747.94 is: 398,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,148.54 : 620,911.74 = 288,747.94 : x
  2. Step 2: Convert to fraction form
    450,148.54/620,911.74 = 288,747.94/x
  3. Step 3: Cross multiply
    450,148.54x = 620,911.74 × 288,747.94
  4. Step 4: Simplify right side
    450,148.54x = 179,286,985,846.82
  5. Step 5: Solve for x
    x = 179,286,985,846.82/450,148.54
  6. Step 6: Final answer
    x = 398,284.05

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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.