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Finding the Fourth Proportional to 469,840.88, 704,549.64 and 280,388.72

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Solution

The fourth proportional to 469,840.88, 704,549.64 and 280,388.72 is: 420,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,840.88 : 704,549.64 = 280,388.72 : x
  2. Step 2: Convert to fraction form
    469,840.88/704,549.64 = 280,388.72/x
  3. Step 3: Cross multiply
    469,840.88x = 704,549.64 × 280,388.72
  4. Step 4: Simplify right side
    469,840.88x = 197,547,771,736.06
  5. Step 5: Solve for x
    x = 197,547,771,736.06/469,840.88
  6. Step 6: Final answer
    x = 420,456.75

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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.