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Finding the Fourth Proportional to 469,208.09, 704,754.68 and 280,038.06

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Solution

The fourth proportional to 469,208.09, 704,754.68 and 280,038.06 is: 420,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,208.09 : 704,754.68 = 280,038.06 : x
  2. Step 2: Convert to fraction form
    469,208.09/704,754.68 = 280,038.06/x
  3. Step 3: Cross multiply
    469,208.09x = 704,754.68 × 280,038.06
  4. Step 4: Simplify right side
    469,208.09x = 197,358,131,962.93
  5. Step 5: Solve for x
    x = 197,358,131,962.93/469,208.09
  6. Step 6: Final answer
    x = 420,619.63

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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.