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Finding the Fourth Proportional to 458,294.63, 632,446.58 and 257,090.63

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Solution

The fourth proportional to 458,294.63, 632,446.58 and 257,090.63 is: 354,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,294.63 : 632,446.58 = 257,090.63 : x
  2. Step 2: Convert to fraction form
    458,294.63/632,446.58 = 257,090.63/x
  3. Step 3: Cross multiply
    458,294.63x = 632,446.58 × 257,090.63
  4. Step 4: Simplify right side
    458,294.63x = 162,596,087,174.04
  5. Step 5: Solve for x
    x = 162,596,087,174.04/458,294.63
  6. Step 6: Final answer
    x = 354,785.06

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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.