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Finding the Fourth Proportional to 470,970.08, 704,910.72 and 257,410.88

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Solution

The fourth proportional to 470,970.08, 704,910.72 and 257,410.88 is: 385,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,970.08 : 704,910.72 = 257,410.88 : x
  2. Step 2: Convert to fraction form
    470,970.08/704,910.72 = 257,410.88/x
  3. Step 3: Cross multiply
    470,970.08x = 704,910.72 × 257,410.88
  4. Step 4: Simplify right side
    470,970.08x = 181,451,688,756.63
  5. Step 5: Solve for x
    x = 181,451,688,756.63/470,970.08
  6. Step 6: Final answer
    x = 385,272.22

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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.