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Finding the Fourth Proportional to 458,576.70, 687,865.05 and 143,033.10

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Solution

The fourth proportional to 458,576.70, 687,865.05 and 143,033.10 is: 214,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,576.70 : 687,865.05 = 143,033.10 : x
  2. Step 2: Convert to fraction form
    458,576.70/687,865.05 = 143,033.10/x
  3. Step 3: Cross multiply
    458,576.70x = 687,865.05 × 143,033.10
  4. Step 4: Simplify right side
    458,576.70x = 98,387,470,483.16
  5. Step 5: Solve for x
    x = 98,387,470,483.16/458,576.70
  6. Step 6: Final answer
    x = 214,549.65

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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.