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Finding the Fourth Proportional to 289,321.90, 434,004.45 and 102,309.10

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Solution

The fourth proportional to 289,321.90, 434,004.45 and 102,309.10 is: 153,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,321.90 : 434,004.45 = 102,309.10 : x
  2. Step 2: Convert to fraction form
    289,321.90/434,004.45 = 102,309.10/x
  3. Step 3: Cross multiply
    289,321.90x = 434,004.45 × 102,309.10
  4. Step 4: Simplify right side
    289,321.90x = 44,402,604,675.50
  5. Step 5: Solve for x
    x = 44,402,604,675.50/289,321.90
  6. Step 6: Final answer
    x = 153,471.29

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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.