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Finding the Fourth Proportional to 501,549.98, 692,138.93 and 286,694.64

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Solution

The fourth proportional to 501,549.98, 692,138.93 and 286,694.64 is: 395,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,549.98 : 692,138.93 = 286,694.64 : x
  2. Step 2: Convert to fraction form
    501,549.98/692,138.93 = 286,694.64/x
  3. Step 3: Cross multiply
    501,549.98x = 692,138.93 × 286,694.64
  4. Step 4: Simplify right side
    501,549.98x = 198,432,519,932.86
  5. Step 5: Solve for x
    x = 198,432,519,932.86/501,549.98
  6. Step 6: Final answer
    x = 395,638.58

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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.