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Finding the Fourth Proportional to 654,051.90, 978,745.05 and 453,431.10

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Solution

The fourth proportional to 654,051.90, 978,745.05 and 453,431.10 is: 678,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,051.90 : 978,745.05 = 453,431.10 : x
  2. Step 2: Convert to fraction form
    654,051.90/978,745.05 = 453,431.10/x
  3. Step 3: Cross multiply
    654,051.90x = 978,745.05 × 453,431.10
  4. Step 4: Simplify right side
    654,051.90x = 443,793,444,641.06
  5. Step 5: Solve for x
    x = 443,793,444,641.06/654,051.90
  6. Step 6: Final answer
    x = 678,529.40

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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.