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Finding the Fourth Proportional to 501,698.09, 692,343.83 and 286,842.65

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Solution

The fourth proportional to 501,698.09, 692,343.83 and 286,842.65 is: 395,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,698.09 : 692,343.83 = 286,842.65 : x
  2. Step 2: Convert to fraction form
    501,698.09/692,343.83 = 286,842.65/x
  3. Step 3: Cross multiply
    501,698.09x = 692,343.83 × 286,842.65
  4. Step 4: Simplify right side
    501,698.09x = 198,593,738,908.35
  5. Step 5: Solve for x
    x = 198,593,738,908.35/501,698.09
  6. Step 6: Final answer
    x = 395,843.12

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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.