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Finding the Fourth Proportional to 402,120.16, 602,950.56 and 165,268

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Solution

The fourth proportional to 402,120.16, 602,950.56 and 165,268 is: 247,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,120.16 : 602,950.56 = 165,268 : x
  2. Step 2: Convert to fraction form
    402,120.16/602,950.56 = 165,268/x
  3. Step 3: Cross multiply
    402,120.16x = 602,950.56 × 165,268
  4. Step 4: Simplify right side
    402,120.16x = 99,648,433,150.08
  5. Step 5: Solve for x
    x = 99,648,433,150.08/402,120.16
  6. Step 6: Final answer
    x = 247,807.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.