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Finding the Fourth Proportional to 354,110.40, 531,424.80 and 235,742.40

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Solution

The fourth proportional to 354,110.40, 531,424.80 and 235,742.40 is: 353,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,110.40 : 531,424.80 = 235,742.40 : x
  2. Step 2: Convert to fraction form
    354,110.40/531,424.80 = 235,742.40/x
  3. Step 3: Cross multiply
    354,110.40x = 531,424.80 × 235,742.40
  4. Step 4: Simplify right side
    354,110.40x = 125,279,357,771.52
  5. Step 5: Solve for x
    x = 125,279,357,771.52/354,110.40
  6. Step 6: Final answer
    x = 353,786.16

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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.