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Finding the Fourth Proportional to 270,430.40, 405,645.60 and 170,703.20

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Solution

The fourth proportional to 270,430.40, 405,645.60 and 170,703.20 is: 256,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,430.40 : 405,645.60 = 170,703.20 : x
  2. Step 2: Convert to fraction form
    270,430.40/405,645.60 = 170,703.20/x
  3. Step 3: Cross multiply
    270,430.40x = 405,645.60 × 170,703.20
  4. Step 4: Simplify right side
    270,430.40x = 69,245,001,985.92
  5. Step 5: Solve for x
    x = 69,245,001,985.92/270,430.40
  6. Step 6: Final answer
    x = 256,054.80

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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.