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Finding the Fourth Proportional to 425,128.42, 586,633.78 and 261,758.98

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Solution

The fourth proportional to 425,128.42, 586,633.78 and 261,758.98 is: 361,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,128.42 : 586,633.78 = 261,758.98 : x
  2. Step 2: Convert to fraction form
    425,128.42/586,633.78 = 261,758.98/x
  3. Step 3: Cross multiply
    425,128.42x = 586,633.78 × 261,758.98
  4. Step 4: Simplify right side
    425,128.42x = 153,556,659,886.34
  5. Step 5: Solve for x
    x = 153,556,659,886.34/425,128.42
  6. Step 6: Final answer
    x = 361,200.65

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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.