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Finding the Fourth Proportional to 302,019.90, 416,762.64 and 177,821.13

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Solution

The fourth proportional to 302,019.90, 416,762.64 and 177,821.13 is: 245,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,019.90 : 416,762.64 = 177,821.13 : x
  2. Step 2: Convert to fraction form
    302,019.90/416,762.64 = 177,821.13/x
  3. Step 3: Cross multiply
    302,019.90x = 416,762.64 × 177,821.13
  4. Step 4: Simplify right side
    302,019.90x = 74,109,203,586.58
  5. Step 5: Solve for x
    x = 74,109,203,586.58/302,019.90
  6. Step 6: Final answer
    x = 245,378.54

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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.