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Finding the Fourth Proportional to 286,413.60, 430,079.40 and 227,737.20

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Solution

The fourth proportional to 286,413.60, 430,079.40 and 227,737.20 is: 341,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,413.60 : 430,079.40 = 227,737.20 : x
  2. Step 2: Convert to fraction form
    286,413.60/430,079.40 = 227,737.20/x
  3. Step 3: Cross multiply
    286,413.60x = 430,079.40 × 227,737.20
  4. Step 4: Simplify right side
    286,413.60x = 97,945,078,333.68
  5. Step 5: Solve for x
    x = 97,945,078,333.68/286,413.60
  6. Step 6: Final answer
    x = 341,970.77

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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.