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Finding the Fourth Proportional to 458,311, 632,473.50 and 257,111.32

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Solution

The fourth proportional to 458,311, 632,473.50 and 257,111.32 is: 354,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,311 : 632,473.50 = 257,111.32 : x
  2. Step 2: Convert to fraction form
    458,311/632,473.50 = 257,111.32/x
  3. Step 3: Cross multiply
    458,311x = 632,473.50 × 257,111.32
  4. Step 4: Simplify right side
    458,311x = 162,616,096,450.02
  5. Step 5: Solve for x
    x = 162,616,096,450.02/458,311
  6. Step 6: Final answer
    x = 354,816.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.