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Finding the Fourth Proportional to 354,514.72, 531,875.76 and 105,203.20

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Solution

The fourth proportional to 354,514.72, 531,875.76 and 105,203.20 is: 157,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,514.72 : 531,875.76 = 105,203.20 : x
  2. Step 2: Convert to fraction form
    354,514.72/531,875.76 = 105,203.20/x
  3. Step 3: Cross multiply
    354,514.72x = 531,875.76 × 105,203.20
  4. Step 4: Simplify right side
    354,514.72x = 55,955,031,954.43
  5. Step 5: Solve for x
    x = 55,955,031,954.43/354,514.72
  6. Step 6: Final answer
    x = 157,835.57

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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.