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Finding the Fourth Proportional to 458,390.88, 632,590.32 and 257,201.76

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Solution

The fourth proportional to 458,390.88, 632,590.32 and 257,201.76 is: 354,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,390.88 : 632,590.32 = 257,201.76 : x
  2. Step 2: Convert to fraction form
    458,390.88/632,590.32 = 257,201.76/x
  3. Step 3: Cross multiply
    458,390.88x = 632,590.32 × 257,201.76
  4. Step 4: Simplify right side
    458,390.88x = 162,703,343,662.96
  5. Step 5: Solve for x
    x = 162,703,343,662.96/458,390.88
  6. Step 6: Final answer
    x = 354,944.55

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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.