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Finding the Fourth Proportional to 345,684.64, 477,083.28 and 218,354.08

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Solution

The fourth proportional to 345,684.64, 477,083.28 and 218,354.08 is: 301,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,684.64 : 477,083.28 = 218,354.08 : x
  2. Step 2: Convert to fraction form
    345,684.64/477,083.28 = 218,354.08/x
  3. Step 3: Cross multiply
    345,684.64x = 477,083.28 × 218,354.08
  4. Step 4: Simplify right side
    345,684.64x = 104,173,080,687.78
  5. Step 5: Solve for x
    x = 104,173,080,687.78/345,684.64
  6. Step 6: Final answer
    x = 301,352.93

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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.