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Finding the Fourth Proportional to 458,287, 632,440.38 and 257,087.32

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Solution

The fourth proportional to 458,287, 632,440.38 and 257,087.32 is: 354,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,287 : 632,440.38 = 257,087.32 : x
  2. Step 2: Convert to fraction form
    458,287/632,440.38 = 257,087.32/x
  3. Step 3: Cross multiply
    458,287x = 632,440.38 × 257,087.32
  4. Step 4: Simplify right side
    458,287x = 162,592,402,353.98
  5. Step 5: Solve for x
    x = 162,592,402,353.98/458,287
  6. Step 6: Final answer
    x = 354,782.93

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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.