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Finding the Fourth Proportional to 385,248, 531,643.10 and 213,178.44

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Solution

The fourth proportional to 385,248, 531,643.10 and 213,178.44 is: 294,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,248 : 531,643.10 = 213,178.44 : x
  2. Step 2: Convert to fraction form
    385,248/531,643.10 = 213,178.44/x
  3. Step 3: Cross multiply
    385,248x = 531,643.10 × 213,178.44
  4. Step 4: Simplify right side
    385,248x = 113,334,845,628.87
  5. Step 5: Solve for x
    x = 113,334,845,628.87/385,248
  6. Step 6: Final answer
    x = 294,186.72

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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.