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Finding the Fourth Proportional to 511,933.76, 706,468.05 and 282,490.98

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Solution

The fourth proportional to 511,933.76, 706,468.05 and 282,490.98 is: 389,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,933.76 : 706,468.05 = 282,490.98 : x
  2. Step 2: Convert to fraction form
    511,933.76/706,468.05 = 282,490.98/x
  3. Step 3: Cross multiply
    511,933.76x = 706,468.05 × 282,490.98
  4. Step 4: Simplify right side
    511,933.76x = 199,570,849,133.93
  5. Step 5: Solve for x
    x = 199,570,849,133.93/511,933.76
  6. Step 6: Final answer
    x = 389,837.25

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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.