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Finding the Fourth Proportional to 511,373.79, 705,436.29 and 390,304.98

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Solution

The fourth proportional to 511,373.79, 705,436.29 and 390,304.98 is: 538,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,373.79 : 705,436.29 = 390,304.98 : x
  2. Step 2: Convert to fraction form
    511,373.79/705,436.29 = 390,304.98/x
  3. Step 3: Cross multiply
    511,373.79x = 705,436.29 × 390,304.98
  4. Step 4: Simplify right side
    511,373.79x = 275,335,297,059.72
  5. Step 5: Solve for x
    x = 275,335,297,059.72/511,373.79
  6. Step 6: Final answer
    x = 538,422.78

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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.