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Finding the Fourth Proportional to 286,516.81, 429,184.59 and 167,828.32

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Solution

The fourth proportional to 286,516.81, 429,184.59 and 167,828.32 is: 251,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,516.81 : 429,184.59 = 167,828.32 : x
  2. Step 2: Convert to fraction form
    286,516.81/429,184.59 = 167,828.32/x
  3. Step 3: Cross multiply
    286,516.81x = 429,184.59 × 167,828.32
  4. Step 4: Simplify right side
    286,516.81x = 72,029,328,709.59
  5. Step 5: Solve for x
    x = 72,029,328,709.59/286,516.81
  6. Step 6: Final answer
    x = 251,396.52

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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.