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Finding the Fourth Proportional to 290,328.54, 435,419.73 and 103,296.30

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Solution

The fourth proportional to 290,328.54, 435,419.73 and 103,296.30 is: 154,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,328.54 : 435,419.73 = 103,296.30 : x
  2. Step 2: Convert to fraction form
    290,328.54/435,419.73 = 103,296.30/x
  3. Step 3: Cross multiply
    290,328.54x = 435,419.73 × 103,296.30
  4. Step 4: Simplify right side
    290,328.54x = 44,977,247,056.00
  5. Step 5: Solve for x
    x = 44,977,247,056.00/290,328.54
  6. Step 6: Final answer
    x = 154,918.45

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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.