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Finding the Fourth Proportional to 501,659.85, 692,093.51 and 286,684.58

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Solution

The fourth proportional to 501,659.85, 692,093.51 and 286,684.58 is: 395,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,659.85 : 692,093.51 = 286,684.58 : x
  2. Step 2: Convert to fraction form
    501,659.85/692,093.51 = 286,684.58/x
  3. Step 3: Cross multiply
    501,659.85x = 692,093.51 × 286,684.58
  4. Step 4: Simplify right side
    501,659.85x = 198,412,540,219.56
  5. Step 5: Solve for x
    x = 198,412,540,219.56/501,659.85
  6. Step 6: Final answer
    x = 395,512.10

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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.