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Finding the Fourth Proportional to 257,419.06, 386,123 and 70,430.56

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Solution

The fourth proportional to 257,419.06, 386,123 and 70,430.56 is: 105,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,419.06 : 386,123 = 70,430.56 : x
  2. Step 2: Convert to fraction form
    257,419.06/386,123 = 70,430.56/x
  3. Step 3: Cross multiply
    257,419.06x = 386,123 × 70,430.56
  4. Step 4: Simplify right side
    257,419.06x = 27,194,859,118.88
  5. Step 5: Solve for x
    x = 27,194,859,118.88/257,419.06
  6. Step 6: Final answer
    x = 105,644.31

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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.