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Finding the Fourth Proportional to 420,515.36, 630,969.84 and 183,827.36

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Solution

The fourth proportional to 420,515.36, 630,969.84 and 183,827.36 is: 275,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,515.36 : 630,969.84 = 183,827.36 : x
  2. Step 2: Convert to fraction form
    420,515.36/630,969.84 = 183,827.36/x
  3. Step 3: Cross multiply
    420,515.36x = 630,969.84 × 183,827.36
  4. Step 4: Simplify right side
    420,515.36x = 115,989,519,926.82
  5. Step 5: Solve for x
    x = 115,989,519,926.82/420,515.36
  6. Step 6: Final answer
    x = 275,827.07

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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.