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Finding the Fourth Proportional to 288,607.68, 398,271.72 and 161,307.90

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Solution

The fourth proportional to 288,607.68, 398,271.72 and 161,307.90 is: 222,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,607.68 : 398,271.72 = 161,307.90 : x
  2. Step 2: Convert to fraction form
    288,607.68/398,271.72 = 161,307.90/x
  3. Step 3: Cross multiply
    288,607.68x = 398,271.72 × 161,307.90
  4. Step 4: Simplify right side
    288,607.68x = 64,244,374,782.59
  5. Step 5: Solve for x
    x = 64,244,374,782.59/288,607.68
  6. Step 6: Final answer
    x = 222,601.06

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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.