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Finding the Fourth Proportional to 286,522.98, 429,870.39 and 115,656.85

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Solution

The fourth proportional to 286,522.98, 429,870.39 and 115,656.85 is: 173,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,522.98 : 429,870.39 = 115,656.85 : x
  2. Step 2: Convert to fraction form
    286,522.98/429,870.39 = 115,656.85/x
  3. Step 3: Cross multiply
    286,522.98x = 429,870.39 × 115,656.85
  4. Step 4: Simplify right side
    286,522.98x = 49,717,455,215.67
  5. Step 5: Solve for x
    x = 49,717,455,215.67/286,522.98
  6. Step 6: Final answer
    x = 173,519.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.