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Finding the Fourth Proportional to 438,735.40, 658,103.10 and 172,407.40

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Solution

The fourth proportional to 438,735.40, 658,103.10 and 172,407.40 is: 258,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,735.40 : 658,103.10 = 172,407.40 : x
  2. Step 2: Convert to fraction form
    438,735.40/658,103.10 = 172,407.40/x
  3. Step 3: Cross multiply
    438,735.40x = 658,103.10 × 172,407.40
  4. Step 4: Simplify right side
    438,735.40x = 113,461,844,402.94
  5. Step 5: Solve for x
    x = 113,461,844,402.94/438,735.40
  6. Step 6: Final answer
    x = 258,611.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.