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Finding the Fourth Proportional to 413,611.80, 570,638.90 and 270,455.64

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Solution

The fourth proportional to 413,611.80, 570,638.90 and 270,455.64 is: 373,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,611.80 : 570,638.90 = 270,455.64 : x
  2. Step 2: Convert to fraction form
    413,611.80/570,638.90 = 270,455.64/x
  3. Step 3: Cross multiply
    413,611.80x = 570,638.90 × 270,455.64
  4. Step 4: Simplify right side
    413,611.80x = 154,332,508,908.40
  5. Step 5: Solve for x
    x = 154,332,508,908.40/413,611.80
  6. Step 6: Final answer
    x = 373,133.72

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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.