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Finding the Fourth Proportional to 354,514.40, 531,656.40 and 117,816.80

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Solution

The fourth proportional to 354,514.40, 531,656.40 and 117,816.80 is: 176,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,514.40 : 531,656.40 = 117,816.80 : x
  2. Step 2: Convert to fraction form
    354,514.40/531,656.40 = 117,816.80/x
  3. Step 3: Cross multiply
    354,514.40x = 531,656.40 × 117,816.80
  4. Step 4: Simplify right side
    354,514.40x = 62,638,055,747.52
  5. Step 5: Solve for x
    x = 62,638,055,747.52/354,514.40
  6. Step 6: Final answer
    x = 176,686.92

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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.