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Finding the Fourth Proportional to 289,592.04, 434,453.76 and 102,603.60

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Solution

The fourth proportional to 289,592.04, 434,453.76 and 102,603.60 is: 153,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,592.04 : 434,453.76 = 102,603.60 : x
  2. Step 2: Convert to fraction form
    289,592.04/434,453.76 = 102,603.60/x
  3. Step 3: Cross multiply
    289,592.04x = 434,453.76 × 102,603.60
  4. Step 4: Simplify right side
    289,592.04x = 44,576,519,809.54
  5. Step 5: Solve for x
    x = 44,576,519,809.54/289,592.04
  6. Step 6: Final answer
    x = 153,928.68

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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.