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Finding the Fourth Proportional to 287,289.65, 430,933.32 and 87,609.46

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Solution

The fourth proportional to 287,289.65, 430,933.32 and 87,609.46 is: 131,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,289.65 : 430,933.32 = 87,609.46 : x
  2. Step 2: Convert to fraction form
    287,289.65/430,933.32 = 87,609.46/x
  3. Step 3: Cross multiply
    287,289.65x = 430,933.32 × 87,609.46
  4. Step 4: Simplify right side
    287,289.65x = 37,753,835,023.16
  5. Step 5: Solve for x
    x = 37,753,835,023.16/287,289.65
  6. Step 6: Final answer
    x = 131,413.84

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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.