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Finding the Fourth Proportional to 287,751, 397,147.68 and 180,413.04

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Solution

The fourth proportional to 287,751, 397,147.68 and 180,413.04 is: 249,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,751 : 397,147.68 = 180,413.04 : x
  2. Step 2: Convert to fraction form
    287,751/397,147.68 = 180,413.04/x
  3. Step 3: Cross multiply
    287,751x = 397,147.68 × 180,413.04
  4. Step 4: Simplify right side
    287,751x = 71,650,620,277.75
  5. Step 5: Solve for x
    x = 71,650,620,277.75/287,751
  6. Step 6: Final answer
    x = 249,002.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.