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Finding the Fourth Proportional to 390,871.85, 586,408.86 and 228,902.69

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Solution

The fourth proportional to 390,871.85, 586,408.86 and 228,902.69 is: 343,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,871.85 : 586,408.86 = 228,902.69 : x
  2. Step 2: Convert to fraction form
    390,871.85/586,408.86 = 228,902.69/x
  3. Step 3: Cross multiply
    390,871.85x = 586,408.86 × 228,902.69
  4. Step 4: Simplify right side
    390,871.85x = 134,230,566,959.86
  5. Step 5: Solve for x
    x = 134,230,566,959.86/390,871.85
  6. Step 6: Final answer
    x = 343,413.24

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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.