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Finding the Fourth Proportional to 289,032.54, 398,888.51 and 166,563.02

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Solution

The fourth proportional to 289,032.54, 398,888.51 and 166,563.02 is: 229,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,032.54 : 398,888.51 = 166,563.02 : x
  2. Step 2: Convert to fraction form
    289,032.54/398,888.51 = 166,563.02/x
  3. Step 3: Cross multiply
    289,032.54x = 398,888.51 × 166,563.02
  4. Step 4: Simplify right side
    289,032.54x = 66,440,074,868.90
  5. Step 5: Solve for x
    x = 66,440,074,868.90/289,032.54
  6. Step 6: Final answer
    x = 229,870.57

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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.