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Finding the Fourth Proportional to 235,814.40, 353,491.20 and 210,931.20

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Solution

The fourth proportional to 235,814.40, 353,491.20 and 210,931.20 is: 316,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,814.40 : 353,491.20 = 210,931.20 : x
  2. Step 2: Convert to fraction form
    235,814.40/353,491.20 = 210,931.20/x
  3. Step 3: Cross multiply
    235,814.40x = 353,491.20 × 210,931.20
  4. Step 4: Simplify right side
    235,814.40x = 74,562,323,005.44
  5. Step 5: Solve for x
    x = 74,562,323,005.44/235,814.40
  6. Step 6: Final answer
    x = 316,190.71

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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.