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Finding the Fourth Proportional to 384,948.74, 531,207.63 and 212,856.68

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Solution

The fourth proportional to 384,948.74, 531,207.63 and 212,856.68 is: 293,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,948.74 : 531,207.63 = 212,856.68 : x
  2. Step 2: Convert to fraction form
    384,948.74/531,207.63 = 212,856.68/x
  3. Step 3: Cross multiply
    384,948.74x = 531,207.63 × 212,856.68
  4. Step 4: Simplify right side
    384,948.74x = 113,071,089,856.43
  5. Step 5: Solve for x
    x = 113,071,089,856.43/384,948.74
  6. Step 6: Final answer
    x = 293,730.25

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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.