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Finding the Fourth Proportional to 355,714.04, 490,901.12 and 204,859.64

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Solution

The fourth proportional to 355,714.04, 490,901.12 and 204,859.64 is: 282,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,714.04 : 490,901.12 = 204,859.64 : x
  2. Step 2: Convert to fraction form
    355,714.04/490,901.12 = 204,859.64/x
  3. Step 3: Cross multiply
    355,714.04x = 490,901.12 × 204,859.64
  4. Step 4: Simplify right side
    355,714.04x = 100,565,826,718.80
  5. Step 5: Solve for x
    x = 100,565,826,718.80/355,714.04
  6. Step 6: Final answer
    x = 282,715.37

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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.