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Finding the Fourth Proportional to 456,948.99, 630,659.25 and 284,894.87

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Solution

The fourth proportional to 456,948.99, 630,659.25 and 284,894.87 is: 393,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,948.99 : 630,659.25 = 284,894.87 : x
  2. Step 2: Convert to fraction form
    456,948.99/630,659.25 = 284,894.87/x
  3. Step 3: Cross multiply
    456,948.99x = 630,659.25 × 284,894.87
  4. Step 4: Simplify right side
    456,948.99x = 179,671,581,889.75
  5. Step 5: Solve for x
    x = 179,671,581,889.75/456,948.99
  6. Step 6: Final answer
    x = 393,198.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.