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Finding the Fourth Proportional to 458,260.70, 687,455.85 and 142,684.70

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Solution

The fourth proportional to 458,260.70, 687,455.85 and 142,684.70 is: 214,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,260.70 : 687,455.85 = 142,684.70 : x
  2. Step 2: Convert to fraction form
    458,260.70/687,455.85 = 142,684.70/x
  3. Step 3: Cross multiply
    458,260.70x = 687,455.85 × 142,684.70
  4. Step 4: Simplify right side
    458,260.70x = 98,089,431,720.50
  5. Step 5: Solve for x
    x = 98,089,431,720.50/458,260.70
  6. Step 6: Final answer
    x = 214,047.23

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1.5x scale

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.