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Finding the Fourth Proportional to 289,313.85, 433,970.78 and 102,301.05

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Solution

The fourth proportional to 289,313.85, 433,970.78 and 102,301.05 is: 153,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,313.85 : 433,970.78 = 102,301.05 : x
  2. Step 2: Convert to fraction form
    289,313.85/433,970.78 = 102,301.05/x
  3. Step 3: Cross multiply
    289,313.85x = 433,970.78 × 102,301.05
  4. Step 4: Simplify right side
    289,313.85x = 44,395,665,951.81
  5. Step 5: Solve for x
    x = 44,395,665,951.81/289,313.85
  6. Step 6: Final answer
    x = 153,451.58

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1.5x scale

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.