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Finding the Fourth Proportional to 511,413.64, 765,985.49 and 330,918.71

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Solution

The fourth proportional to 511,413.64, 765,985.49 and 330,918.71 is: 495,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,413.64 : 765,985.49 = 330,918.71 : x
  2. Step 2: Convert to fraction form
    511,413.64/765,985.49 = 330,918.71/x
  3. Step 3: Cross multiply
    511,413.64x = 765,985.49 × 330,918.71
  4. Step 4: Simplify right side
    511,413.64x = 253,478,926,399.59
  5. Step 5: Solve for x
    x = 253,478,926,399.59/511,413.64
  6. Step 6: Final answer
    x = 495,643.66

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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.