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Finding the Fourth Proportional to 383,913.80, 575,870.70 and 257,942.60

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Solution

The fourth proportional to 383,913.80, 575,870.70 and 257,942.60 is: 386,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,913.80 : 575,870.70 = 257,942.60 : x
  2. Step 2: Convert to fraction form
    383,913.80/575,870.70 = 257,942.60/x
  3. Step 3: Cross multiply
    383,913.80x = 575,870.70 × 257,942.60
  4. Step 4: Simplify right side
    383,913.80x = 148,541,585,621.82
  5. Step 5: Solve for x
    x = 148,541,585,621.82/383,913.80
  6. Step 6: Final answer
    x = 386,913.90

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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.