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Finding the Fourth Proportional to 459,413.21, 634,003.94 and 278,158.30

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Solution

The fourth proportional to 459,413.21, 634,003.94 and 278,158.30 is: 383,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,413.21 : 634,003.94 = 278,158.30 : x
  2. Step 2: Convert to fraction form
    459,413.21/634,003.94 = 278,158.30/x
  3. Step 3: Cross multiply
    459,413.21x = 634,003.94 × 278,158.30
  4. Step 4: Simplify right side
    459,413.21x = 176,353,458,143.70
  5. Step 5: Solve for x
    x = 176,353,458,143.70/459,413.21
  6. Step 6: Final answer
    x = 383,866.76

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1.5x scale

Why These Related Problems?

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