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Finding the Fourth Proportional to 364,422.40, 546,121.60 and 289,670.40

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Solution

The fourth proportional to 364,422.40, 546,121.60 and 289,670.40 is: 434,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,422.40 : 546,121.60 = 289,670.40 : x
  2. Step 2: Convert to fraction form
    364,422.40/546,121.60 = 289,670.40/x
  3. Step 3: Cross multiply
    364,422.40x = 546,121.60 × 289,670.40
  4. Step 4: Simplify right side
    364,422.40x = 158,195,262,320.64
  5. Step 5: Solve for x
    x = 158,195,262,320.64/364,422.40
  6. Step 6: Final answer
    x = 434,098.62

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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.