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Finding the Fourth Proportional to 390,051.70, 584,640.15 and 200,438.80

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Solution

The fourth proportional to 390,051.70, 584,640.15 and 200,438.80 is: 300,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,051.70 : 584,640.15 = 200,438.80 : x
  2. Step 2: Convert to fraction form
    390,051.70/584,640.15 = 200,438.80/x
  3. Step 3: Cross multiply
    390,051.70x = 584,640.15 × 200,438.80
  4. Step 4: Simplify right side
    390,051.70x = 117,184,570,097.82
  5. Step 5: Solve for x
    x = 117,184,570,097.82/390,051.70
  6. Step 6: Final answer
    x = 300,433.43

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1.5x scale

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.