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Finding the Fourth Proportional to 283,102.52, 390,689.39 and 154,048.86

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Solution

The fourth proportional to 283,102.52, 390,689.39 and 154,048.86 is: 212,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,102.52 : 390,689.39 = 154,048.86 : x
  2. Step 2: Convert to fraction form
    283,102.52/390,689.39 = 154,048.86/x
  3. Step 3: Cross multiply
    283,102.52x = 390,689.39 × 154,048.86
  4. Step 4: Simplify right side
    283,102.52x = 60,185,255,528.72
  5. Step 5: Solve for x
    x = 60,185,255,528.72/283,102.52
  6. Step 6: Final answer
    x = 212,591.74

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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.