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Finding the Fourth Proportional to 450,410.56, 675,811.92 and 282,316

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Solution

The fourth proportional to 450,410.56, 675,811.92 and 282,316 is: 423,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,410.56 : 675,811.92 = 282,316 : x
  2. Step 2: Convert to fraction form
    450,410.56/675,811.92 = 282,316/x
  3. Step 3: Cross multiply
    450,410.56x = 675,811.92 × 282,316
  4. Step 4: Simplify right side
    450,410.56x = 190,792,518,006.72
  5. Step 5: Solve for x
    x = 190,792,518,006.72/450,410.56
  6. Step 6: Final answer
    x = 423,596.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.