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Finding the Fourth Proportional to 383,878.60, 575,817.90 and 257,907.40

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Solution

The fourth proportional to 383,878.60, 575,817.90 and 257,907.40 is: 386,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,878.60 : 575,817.90 = 257,907.40 : x
  2. Step 2: Convert to fraction form
    383,878.60/575,817.90 = 257,907.40/x
  3. Step 3: Cross multiply
    383,878.60x = 575,817.90 × 257,907.40
  4. Step 4: Simplify right side
    383,878.60x = 148,507,697,462.46
  5. Step 5: Solve for x
    x = 148,507,697,462.46/383,878.60
  6. Step 6: Final answer
    x = 386,861.10

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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.