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Finding the Fourth Proportional to 425,185.16, 586,712.88 and 261,815.45

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Solution

The fourth proportional to 425,185.16, 586,712.88 and 261,815.45 is: 361,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,185.16 : 586,712.88 = 261,815.45 : x
  2. Step 2: Convert to fraction form
    425,185.16/586,712.88 = 261,815.45/x
  3. Step 3: Cross multiply
    425,185.16x = 586,712.88 × 261,815.45
  4. Step 4: Simplify right side
    425,185.16x = 153,610,493,764.43
  5. Step 5: Solve for x
    x = 153,610,493,764.43/425,185.16
  6. Step 6: Final answer
    x = 361,279.06

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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.