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Finding the Fourth Proportional to 353,303.86, 529,956.16 and 142,943.62

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Solution

The fourth proportional to 353,303.86, 529,956.16 and 142,943.62 is: 214,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,303.86 : 529,956.16 = 142,943.62 : x
  2. Step 2: Convert to fraction form
    353,303.86/529,956.16 = 142,943.62/x
  3. Step 3: Cross multiply
    353,303.86x = 529,956.16 × 142,943.62
  4. Step 4: Simplify right side
    353,303.86x = 75,753,851,951.70
  5. Step 5: Solve for x
    x = 75,753,851,951.70/353,303.86
  6. Step 6: Final answer
    x = 214,415.58

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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.