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Finding the Fourth Proportional to 280,818, 421,300.76 and 100,921.58

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Solution

The fourth proportional to 280,818, 421,300.76 and 100,921.58 is: 151,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,818 : 421,300.76 = 100,921.58 : x
  2. Step 2: Convert to fraction form
    280,818/421,300.76 = 100,921.58/x
  3. Step 3: Cross multiply
    280,818x = 421,300.76 × 100,921.58
  4. Step 4: Simplify right side
    280,818x = 42,518,338,354.40
  5. Step 5: Solve for x
    x = 42,518,338,354.40/280,818
  6. Step 6: Final answer
    x = 151,408.88

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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.