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Finding the Fourth Proportional to 442,172, 610,201.68 and 240,972.32

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Solution

The fourth proportional to 442,172, 610,201.68 and 240,972.32 is: 332,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,172 : 610,201.68 = 240,972.32 : x
  2. Step 2: Convert to fraction form
    442,172/610,201.68 = 240,972.32/x
  3. Step 3: Cross multiply
    442,172x = 610,201.68 × 240,972.32
  4. Step 4: Simplify right side
    442,172x = 147,041,714,497.50
  5. Step 5: Solve for x
    x = 147,041,714,497.50/442,172
  6. Step 6: Final answer
    x = 332,544.16

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1.5x scale

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.