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Finding the Fourth Proportional to 511,670.71, 706,017.48 and 328,069.84

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Solution

The fourth proportional to 511,670.71, 706,017.48 and 328,069.84 is: 452,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,670.71 : 706,017.48 = 328,069.84 : x
  2. Step 2: Convert to fraction form
    511,670.71/706,017.48 = 328,069.84/x
  3. Step 3: Cross multiply
    511,670.71x = 706,017.48 × 328,069.84
  4. Step 4: Simplify right side
    511,670.71x = 231,623,041,700.80
  5. Step 5: Solve for x
    x = 231,623,041,700.80/511,670.71
  6. Step 6: Final answer
    x = 452,679.89

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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.