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Finding the Fourth Proportional to 489,792.24, 675,739.44 and 320,124.24

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Solution

The fourth proportional to 489,792.24, 675,739.44 and 320,124.24 is: 441,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,792.24 : 675,739.44 = 320,124.24 : x
  2. Step 2: Convert to fraction form
    489,792.24/675,739.44 = 320,124.24/x
  3. Step 3: Cross multiply
    489,792.24x = 675,739.44 × 320,124.24
  4. Step 4: Simplify right side
    489,792.24x = 216,320,574,668.03
  5. Step 5: Solve for x
    x = 216,320,574,668.03/489,792.24
  6. Step 6: Final answer
    x = 441,657.82

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1.5x scale

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.