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Finding the Fourth Proportional to 470,968.08, 704,907.72 and 257,408.88

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Solution

The fourth proportional to 470,968.08, 704,907.72 and 257,408.88 is: 385,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,968.08 : 704,907.72 = 257,408.88 : x
  2. Step 2: Convert to fraction form
    470,968.08/704,907.72 = 257,408.88/x
  3. Step 3: Cross multiply
    470,968.08x = 704,907.72 × 257,408.88
  4. Step 4: Simplify right side
    470,968.08x = 181,449,506,708.55
  5. Step 5: Solve for x
    x = 181,449,506,708.55/470,968.08
  6. Step 6: Final answer
    x = 385,269.22

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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.