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Finding the Fourth Proportional to 470,969.08, 704,909.22 and 257,409.88

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Solution

The fourth proportional to 470,969.08, 704,909.22 and 257,409.88 is: 385,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.08 : 704,909.22 = 257,409.88 : x
  2. Step 2: Convert to fraction form
    470,969.08/704,909.22 = 257,409.88/x
  3. Step 3: Cross multiply
    470,969.08x = 704,909.22 × 257,409.88
  4. Step 4: Simplify right side
    470,969.08x = 181,450,597,731.09
  5. Step 5: Solve for x
    x = 181,450,597,731.09/470,969.08
  6. Step 6: Final answer
    x = 385,270.72

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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.