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Finding the Fourth Proportional to 511,702.29, 767,320.16 and 301,400.37

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Solution

The fourth proportional to 511,702.29, 767,320.16 and 301,400.37 is: 451,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,702.29 : 767,320.16 = 301,400.37 : x
  2. Step 2: Convert to fraction form
    511,702.29/767,320.16 = 301,400.37/x
  3. Step 3: Cross multiply
    511,702.29x = 767,320.16 × 301,400.37
  4. Step 4: Simplify right side
    511,702.29x = 231,270,578,625.46
  5. Step 5: Solve for x
    x = 231,270,578,625.46/511,702.29
  6. Step 6: Final answer
    x = 451,963.15

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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.