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Finding the Fourth Proportional to 380,185.63, 524,773.02 and 219,148.33

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Solution

The fourth proportional to 380,185.63, 524,773.02 and 219,148.33 is: 302,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,185.63 : 524,773.02 = 219,148.33 : x
  2. Step 2: Convert to fraction form
    380,185.63/524,773.02 = 219,148.33/x
  3. Step 3: Cross multiply
    380,185.63x = 524,773.02 × 219,148.33
  4. Step 4: Simplify right side
    380,185.63x = 115,003,130,962.06
  5. Step 5: Solve for x
    x = 115,003,130,962.06/380,185.63
  6. Step 6: Final answer
    x = 302,492.05

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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.