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Finding the Fourth Proportional to 286,814.70, 430,164.45 and 137,054.70

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Solution

The fourth proportional to 286,814.70, 430,164.45 and 137,054.70 is: 205,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,814.70 : 430,164.45 = 137,054.70 : x
  2. Step 2: Convert to fraction form
    286,814.70/430,164.45 = 137,054.70/x
  3. Step 3: Cross multiply
    286,814.70x = 430,164.45 × 137,054.70
  4. Step 4: Simplify right side
    286,814.70x = 58,956,059,645.42
  5. Step 5: Solve for x
    x = 58,956,059,645.42/286,814.70
  6. Step 6: Final answer
    x = 205,554.53

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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.