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Finding the Fourth Proportional to 289,313.28, 399,288.96 and 176,129.28

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Solution

The fourth proportional to 289,313.28, 399,288.96 and 176,129.28 is: 243,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,313.28 : 399,288.96 = 176,129.28 : x
  2. Step 2: Convert to fraction form
    289,313.28/399,288.96 = 176,129.28/x
  3. Step 3: Cross multiply
    289,313.28x = 399,288.96 × 176,129.28
  4. Step 4: Simplify right side
    289,313.28x = 70,326,477,036.75
  5. Step 5: Solve for x
    x = 70,326,477,036.75/289,313.28
  6. Step 6: Final answer
    x = 243,080.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.