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Finding the Fourth Proportional to 455,956.94, 684,009.74 and 140,413.85

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Solution

The fourth proportional to 455,956.94, 684,009.74 and 140,413.85 is: 210,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,956.94 : 684,009.74 = 140,413.85 : x
  2. Step 2: Convert to fraction form
    455,956.94/684,009.74 = 140,413.85/x
  3. Step 3: Cross multiply
    455,956.94x = 684,009.74 × 140,413.85
  4. Step 4: Simplify right side
    455,956.94x = 96,044,441,030.90
  5. Step 5: Solve for x
    x = 96,044,441,030.90/455,956.94
  6. Step 6: Final answer
    x = 210,643.67

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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.