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Finding the Fourth Proportional to 458,417.54, 632,626.56 and 257,213.54

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Solution

The fourth proportional to 458,417.54, 632,626.56 and 257,213.54 is: 354,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,417.54 : 632,626.56 = 257,213.54 : x
  2. Step 2: Convert to fraction form
    458,417.54/632,626.56 = 257,213.54/x
  3. Step 3: Cross multiply
    458,417.54x = 632,626.56 × 257,213.54
  4. Step 4: Simplify right side
    458,417.54x = 162,720,116,995.62
  5. Step 5: Solve for x
    x = 162,720,116,995.62/458,417.54
  6. Step 6: Final answer
    x = 354,960.50

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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.