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Finding the Fourth Proportional to 383,164.60, 528,783.48 and 213,398.68

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Solution

The fourth proportional to 383,164.60, 528,783.48 and 213,398.68 is: 294,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,164.60 : 528,783.48 = 213,398.68 : x
  2. Step 2: Convert to fraction form
    383,164.60/528,783.48 = 213,398.68/x
  3. Step 3: Cross multiply
    383,164.60x = 528,783.48 × 213,398.68
  4. Step 4: Simplify right side
    383,164.60x = 112,841,696,637.81
  5. Step 5: Solve for x
    x = 112,841,696,637.81/383,164.60
  6. Step 6: Final answer
    x = 294,499.27

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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.