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Finding the Fourth Proportional to 389,286.88, 583,503.72 and 152,369.20

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Solution

The fourth proportional to 389,286.88, 583,503.72 and 152,369.20 is: 228,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,286.88 : 583,503.72 = 152,369.20 : x
  2. Step 2: Convert to fraction form
    389,286.88/583,503.72 = 152,369.20/x
  3. Step 3: Cross multiply
    389,286.88x = 583,503.72 × 152,369.20
  4. Step 4: Simplify right side
    389,286.88x = 88,907,995,013.42
  5. Step 5: Solve for x
    x = 88,907,995,013.42/389,286.88
  6. Step 6: Final answer
    x = 228,386.83

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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.