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Finding the Fourth Proportional to 651,071.03, 978,103.27 and 459,386.63

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Solution

The fourth proportional to 651,071.03, 978,103.27 and 459,386.63 is: 690,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,071.03 : 978,103.27 = 459,386.63 : x
  2. Step 2: Convert to fraction form
    651,071.03/978,103.27 = 459,386.63/x
  3. Step 3: Cross multiply
    651,071.03x = 978,103.27 × 459,386.63
  4. Step 4: Simplify right side
    651,071.03x = 449,327,561,764.84
  5. Step 5: Solve for x
    x = 449,327,561,764.84/651,071.03
  6. Step 6: Final answer
    x = 690,136.01

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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.