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Finding the Fourth Proportional to 438,009.60, 657,014.40 and 257,910.15

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Solution

The fourth proportional to 438,009.60, 657,014.40 and 257,910.15 is: 386,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,009.60 : 657,014.40 = 257,910.15 : x
  2. Step 2: Convert to fraction form
    438,009.60/657,014.40 = 257,910.15/x
  3. Step 3: Cross multiply
    438,009.60x = 657,014.40 × 257,910.15
  4. Step 4: Simplify right side
    438,009.60x = 169,450,682,456.16
  5. Step 5: Solve for x
    x = 169,450,682,456.16/438,009.60
  6. Step 6: Final answer
    x = 386,865.23

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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.