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Finding the Fourth Proportional to 357,956.70, 538,101.45 and 253,499.10

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Solution

The fourth proportional to 357,956.70, 538,101.45 and 253,499.10 is: 381,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,956.70 : 538,101.45 = 253,499.10 : x
  2. Step 2: Convert to fraction form
    357,956.70/538,101.45 = 253,499.10/x
  3. Step 3: Cross multiply
    357,956.70x = 538,101.45 × 253,499.10
  4. Step 4: Simplify right side
    357,956.70x = 136,408,233,283.70
  5. Step 5: Solve for x
    x = 136,408,233,283.70/357,956.70
  6. Step 6: Final answer
    x = 381,074.68

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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.