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Finding the Fourth Proportional to 455,811.48, 683,509.32 and 189,413.28

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Solution

The fourth proportional to 455,811.48, 683,509.32 and 189,413.28 is: 284,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,811.48 : 683,509.32 = 189,413.28 : x
  2. Step 2: Convert to fraction form
    455,811.48/683,509.32 = 189,413.28/x
  3. Step 3: Cross multiply
    455,811.48x = 683,509.32 × 189,413.28
  4. Step 4: Simplify right side
    455,811.48x = 129,465,742,211.77
  5. Step 5: Solve for x
    x = 129,465,742,211.77/455,811.48
  6. Step 6: Final answer
    x = 284,033.53

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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.