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Finding the Fourth Proportional to 420,529.65, 580,072.35 and 299,710.05

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Solution

The fourth proportional to 420,529.65, 580,072.35 and 299,710.05 is: 413,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,529.65 : 580,072.35 = 299,710.05 : x
  2. Step 2: Convert to fraction form
    420,529.65/580,072.35 = 299,710.05/x
  3. Step 3: Cross multiply
    420,529.65x = 580,072.35 × 299,710.05
  4. Step 4: Simplify right side
    420,529.65x = 173,853,513,022.12
  5. Step 5: Solve for x
    x = 173,853,513,022.12/420,529.65
  6. Step 6: Final answer
    x = 413,415.59

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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.