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Finding the Fourth Proportional to 511,303.41, 705,602.21 and 284,963.49

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Solution

The fourth proportional to 511,303.41, 705,602.21 and 284,963.49 is: 393,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,303.41 : 705,602.21 = 284,963.49 : x
  2. Step 2: Convert to fraction form
    511,303.41/705,602.21 = 284,963.49/x
  3. Step 3: Cross multiply
    511,303.41x = 705,602.21 × 284,963.49
  4. Step 4: Simplify right side
    511,303.41x = 201,070,866,888.50
  5. Step 5: Solve for x
    x = 201,070,866,888.50/511,303.41
  6. Step 6: Final answer
    x = 393,251.57

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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.