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Finding the Fourth Proportional to 384,629.60, 576,166.80 and 258,658.40

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Solution

The fourth proportional to 384,629.60, 576,166.80 and 258,658.40 is: 387,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,629.60 : 576,166.80 = 258,658.40 : x
  2. Step 2: Convert to fraction form
    384,629.60/576,166.80 = 258,658.40/x
  3. Step 3: Cross multiply
    384,629.60x = 576,166.80 × 258,658.40
  4. Step 4: Simplify right side
    384,629.60x = 149,030,382,621.12
  5. Step 5: Solve for x
    x = 149,030,382,621.12/384,629.60
  6. Step 6: Final answer
    x = 387,464.67

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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.