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Finding the Fourth Proportional to 456,647.78, 630,164.50 and 252,698.57

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Solution

The fourth proportional to 456,647.78, 630,164.50 and 252,698.57 is: 348,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,647.78 : 630,164.50 = 252,698.57 : x
  2. Step 2: Convert to fraction form
    456,647.78/630,164.50 = 252,698.57/x
  3. Step 3: Cross multiply
    456,647.78x = 630,164.50 × 252,698.57
  4. Step 4: Simplify right side
    456,647.78x = 159,241,668,014.77
  5. Step 5: Solve for x
    x = 159,241,668,014.77/456,647.78
  6. Step 6: Final answer
    x = 348,718.80

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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.