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Finding the Fourth Proportional to 364,556.80, 546,446.40 and 139,830.40

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Solution

The fourth proportional to 364,556.80, 546,446.40 and 139,830.40 is: 209,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,556.80 : 546,446.40 = 139,830.40 : x
  2. Step 2: Convert to fraction form
    364,556.80/546,446.40 = 139,830.40/x
  3. Step 3: Cross multiply
    364,556.80x = 546,446.40 × 139,830.40
  4. Step 4: Simplify right side
    364,556.80x = 76,409,818,690.56
  5. Step 5: Solve for x
    x = 76,409,818,690.56/364,556.80
  6. Step 6: Final answer
    x = 209,596.47

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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.