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Finding the Fourth Proportional to 511,433.80, 767,409.82 and 340,772.16

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Solution

The fourth proportional to 511,433.80, 767,409.82 and 340,772.16 is: 511,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,433.80 : 767,409.82 = 340,772.16 : x
  2. Step 2: Convert to fraction form
    511,433.80/767,409.82 = 340,772.16/x
  3. Step 3: Cross multiply
    511,433.80x = 767,409.82 × 340,772.16
  4. Step 4: Simplify right side
    511,433.80x = 261,511,901,966.61
  5. Step 5: Solve for x
    x = 261,511,901,966.61/511,433.80
  6. Step 6: Final answer
    x = 511,330.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.