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Finding the Fourth Proportional to 651,890.16, 978,114.12 and 272,899.44

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Solution

The fourth proportional to 651,890.16, 978,114.12 and 272,899.44 is: 409,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,890.16 : 978,114.12 = 272,899.44 : x
  2. Step 2: Convert to fraction form
    651,890.16/978,114.12 = 272,899.44/x
  3. Step 3: Cross multiply
    651,890.16x = 978,114.12 × 272,899.44
  4. Step 4: Simplify right side
    651,890.16x = 266,926,795,604.09
  5. Step 5: Solve for x
    x = 266,926,795,604.09/651,890.16
  6. Step 6: Final answer
    x = 409,465.91

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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.