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Finding the Fourth Proportional to 286,742.82, 430,201.68 and 146,599.86

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Solution

The fourth proportional to 286,742.82, 430,201.68 and 146,599.86 is: 219,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,742.82 : 430,201.68 = 146,599.86 : x
  2. Step 2: Convert to fraction form
    286,742.82/430,201.68 = 146,599.86/x
  3. Step 3: Cross multiply
    286,742.82x = 430,201.68 × 146,599.86
  4. Step 4: Simplify right side
    286,742.82x = 63,067,506,059.76
  5. Step 5: Solve for x
    x = 63,067,506,059.76/286,742.82
  6. Step 6: Final answer
    x = 219,944.50

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1.5x scale

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.