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Finding the Fourth Proportional to 488,905.40, 735,326.40 and 437,729.60

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Solution

The fourth proportional to 488,905.40, 735,326.40 and 437,729.60 is: 658,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,905.40 : 735,326.40 = 437,729.60 : x
  2. Step 2: Convert to fraction form
    488,905.40/735,326.40 = 437,729.60/x
  3. Step 3: Cross multiply
    488,905.40x = 735,326.40 × 437,729.60
  4. Step 4: Simplify right side
    488,905.40x = 321,874,130,941.44
  5. Step 5: Solve for x
    x = 321,874,130,941.44/488,905.40
  6. Step 6: Final answer
    x = 658,356.67

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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.