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Finding the Fourth Proportional to 315,817.48, 435,829.28 and 172,577.54

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Solution

The fourth proportional to 315,817.48, 435,829.28 and 172,577.54 is: 238,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,817.48 : 435,829.28 = 172,577.54 : x
  2. Step 2: Convert to fraction form
    315,817.48/435,829.28 = 172,577.54/x
  3. Step 3: Cross multiply
    315,817.48x = 435,829.28 × 172,577.54
  4. Step 4: Simplify right side
    315,817.48x = 75,214,345,002.37
  5. Step 5: Solve for x
    x = 75,214,345,002.37/315,817.48
  6. Step 6: Final answer
    x = 238,157.64

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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.