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Finding the Fourth Proportional to 257,866.74, 386,799.57 and 145,495.98

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Solution

The fourth proportional to 257,866.74, 386,799.57 and 145,495.98 is: 218,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,866.74 : 386,799.57 = 145,495.98 : x
  2. Step 2: Convert to fraction form
    257,866.74/386,799.57 = 145,495.98/x
  3. Step 3: Cross multiply
    257,866.74x = 386,799.57 × 145,495.98
  4. Step 4: Simplify right side
    257,866.74x = 56,277,782,500.73
  5. Step 5: Solve for x
    x = 56,277,782,500.73/257,866.74
  6. Step 6: Final answer
    x = 218,243.67

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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.