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Finding the Fourth Proportional to 304,633.77, 420,399.05 and 175,501

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Solution

The fourth proportional to 304,633.77, 420,399.05 and 175,501 is: 242,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,633.77 : 420,399.05 = 175,501 : x
  2. Step 2: Convert to fraction form
    304,633.77/420,399.05 = 175,501/x
  3. Step 3: Cross multiply
    304,633.77x = 420,399.05 × 175,501
  4. Step 4: Simplify right side
    304,633.77x = 73,780,453,674.05
  5. Step 5: Solve for x
    x = 73,780,453,674.05/304,633.77
  6. Step 6: Final answer
    x = 242,193.94

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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.