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Finding the Fourth Proportional to 389,514.68, 584,336.58 and 136,729.60

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Solution

The fourth proportional to 389,514.68, 584,336.58 and 136,729.60 is: 205,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,514.68 : 584,336.58 = 136,729.60 : x
  2. Step 2: Convert to fraction form
    389,514.68/584,336.58 = 136,729.60/x
  3. Step 3: Cross multiply
    389,514.68x = 584,336.58 × 136,729.60
  4. Step 4: Simplify right side
    389,514.68x = 79,896,106,848.77
  5. Step 5: Solve for x
    x = 79,896,106,848.77/389,514.68
  6. Step 6: Final answer
    x = 205,117.06

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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.