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Finding the Fourth Proportional to 353,447.60, 529,825.80 and 142,804.40

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Solution

The fourth proportional to 353,447.60, 529,825.80 and 142,804.40 is: 214,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,447.60 : 529,825.80 = 142,804.40 : x
  2. Step 2: Convert to fraction form
    353,447.60/529,825.80 = 142,804.40/x
  3. Step 3: Cross multiply
    353,447.60x = 529,825.80 × 142,804.40
  4. Step 4: Simplify right side
    353,447.60x = 75,661,455,473.52
  5. Step 5: Solve for x
    x = 75,661,455,473.52/353,447.60
  6. Step 6: Final answer
    x = 214,066.97

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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.