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Finding the Fourth Proportional to 456,814.23, 630,396.01 and 252,860.78

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Solution

The fourth proportional to 456,814.23, 630,396.01 and 252,860.78 is: 348,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,814.23 : 630,396.01 = 252,860.78 : x
  2. Step 2: Convert to fraction form
    456,814.23/630,396.01 = 252,860.78/x
  3. Step 3: Cross multiply
    456,814.23x = 630,396.01 × 252,860.78
  4. Step 4: Simplify right side
    456,814.23x = 159,402,426,797.49
  5. Step 5: Solve for x
    x = 159,402,426,797.49/456,814.23
  6. Step 6: Final answer
    x = 348,943.65

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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.