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Finding the Fourth Proportional to 288,683.04, 398,389.76 and 161,379.84

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Solution

The fourth proportional to 288,683.04, 398,389.76 and 161,379.84 is: 222,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,683.04 : 398,389.76 = 161,379.84 : x
  2. Step 2: Convert to fraction form
    288,683.04/398,389.76 = 161,379.84/x
  3. Step 3: Cross multiply
    288,683.04x = 398,389.76 × 161,379.84
  4. Step 4: Simplify right side
    288,683.04x = 64,292,075,726.44
  5. Step 5: Solve for x
    x = 64,292,075,726.44/288,683.04
  6. Step 6: Final answer
    x = 222,708.18

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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.