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Finding the Fourth Proportional to 286,413.89, 429,565.47 and 272,188.82

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Solution

The fourth proportional to 286,413.89, 429,565.47 and 272,188.82 is: 408,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,413.89 : 429,565.47 = 272,188.82 : x
  2. Step 2: Convert to fraction form
    286,413.89/429,565.47 = 272,188.82/x
  3. Step 3: Cross multiply
    286,413.89x = 429,565.47 × 272,188.82
  4. Step 4: Simplify right side
    286,413.89x = 116,922,916,244.22
  5. Step 5: Solve for x
    x = 116,922,916,244.22/286,413.89
  6. Step 6: Final answer
    x = 408,230.61

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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.