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Finding the Fourth Proportional to 511,784.72, 706,264.14 and 285,444.80

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Solution

The fourth proportional to 511,784.72, 706,264.14 and 285,444.80 is: 393,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,784.72 : 706,264.14 = 285,444.80 : x
  2. Step 2: Convert to fraction form
    511,784.72/706,264.14 = 285,444.80/x
  3. Step 3: Cross multiply
    511,784.72x = 706,264.14 × 285,444.80
  4. Step 4: Simplify right side
    511,784.72x = 201,599,426,189.47
  5. Step 5: Solve for x
    x = 201,599,426,189.47/511,784.72
  6. Step 6: Final answer
    x = 393,914.51

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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.