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Finding the Fourth Proportional to 280,413.24, 420,620.76 and 70,051.17

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Solution

The fourth proportional to 280,413.24, 420,620.76 and 70,051.17 is: 105,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,413.24 : 420,620.76 = 70,051.17 : x
  2. Step 2: Convert to fraction form
    280,413.24/420,620.76 = 70,051.17/x
  3. Step 3: Cross multiply
    280,413.24x = 420,620.76 × 70,051.17
  4. Step 4: Simplify right side
    280,413.24x = 29,464,976,364.29
  5. Step 5: Solve for x
    x = 29,464,976,364.29/280,413.24
  6. Step 6: Final answer
    x = 105,076.98

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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.