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Finding the Fourth Proportional to 385,564.94, 532,042.65 and 213,476.60

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Solution

The fourth proportional to 385,564.94, 532,042.65 and 213,476.60 is: 294,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,564.94 : 532,042.65 = 213,476.60 : x
  2. Step 2: Convert to fraction form
    385,564.94/532,042.65 = 213,476.60/x
  3. Step 3: Cross multiply
    385,564.94x = 532,042.65 × 213,476.60
  4. Step 4: Simplify right side
    385,564.94x = 113,578,653,316.78
  5. Step 5: Solve for x
    x = 113,578,653,316.78/385,564.94
  6. Step 6: Final answer
    x = 294,577.24

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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.