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Finding the Fourth Proportional to 384,045.81, 529,898.40 and 222,807.48

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Solution

The fourth proportional to 384,045.81, 529,898.40 and 222,807.48 is: 307,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,045.81 : 529,898.40 = 222,807.48 : x
  2. Step 2: Convert to fraction form
    384,045.81/529,898.40 = 222,807.48/x
  3. Step 3: Cross multiply
    384,045.81x = 529,898.40 × 222,807.48
  4. Step 4: Simplify right side
    384,045.81x = 118,065,327,160.03
  5. Step 5: Solve for x
    x = 118,065,327,160.03/384,045.81
  6. Step 6: Final answer
    x = 307,425.11

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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.