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Finding the Fourth Proportional to 283,034.66, 390,589.76 and 153,974.32

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Solution

The fourth proportional to 283,034.66, 390,589.76 and 153,974.32 is: 212,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,034.66 : 390,589.76 = 153,974.32 : x
  2. Step 2: Convert to fraction form
    283,034.66/390,589.76 = 153,974.32/x
  3. Step 3: Cross multiply
    283,034.66x = 390,589.76 × 153,974.32
  4. Step 4: Simplify right side
    283,034.66x = 60,140,792,103.42
  5. Step 5: Solve for x
    x = 60,140,792,103.42/283,034.66
  6. Step 6: Final answer
    x = 212,485.61

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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.