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Finding the Fourth Proportional to 286,873.85, 429,917.12 and 181,504.19

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Solution

The fourth proportional to 286,873.85, 429,917.12 and 181,504.19 is: 272,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,873.85 : 429,917.12 = 181,504.19 : x
  2. Step 2: Convert to fraction form
    286,873.85/429,917.12 = 181,504.19/x
  3. Step 3: Cross multiply
    286,873.85x = 429,917.12 × 181,504.19
  4. Step 4: Simplify right side
    286,873.85x = 78,031,759,480.65
  5. Step 5: Solve for x
    x = 78,031,759,480.65/286,873.85
  6. Step 6: Final answer
    x = 272,007.22

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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.