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Finding the Fourth Proportional to 287,866.34, 430,900.96 and 212,050.36

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Solution

The fourth proportional to 287,866.34, 430,900.96 and 212,050.36 is: 317,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,866.34 : 430,900.96 = 212,050.36 : x
  2. Step 2: Convert to fraction form
    287,866.34/430,900.96 = 212,050.36/x
  3. Step 3: Cross multiply
    287,866.34x = 430,900.96 × 212,050.36
  4. Step 4: Simplify right side
    287,866.34x = 91,372,703,692.35
  5. Step 5: Solve for x
    x = 91,372,703,692.35/287,866.34
  6. Step 6: Final answer
    x = 317,413.64

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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.