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Finding the Fourth Proportional to 548,678.32, 757,434.94 and 412,764.03

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Solution

The fourth proportional to 548,678.32, 757,434.94 and 412,764.03 is: 569,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,678.32 : 757,434.94 = 412,764.03 : x
  2. Step 2: Convert to fraction form
    548,678.32/757,434.94 = 412,764.03/x
  3. Step 3: Cross multiply
    548,678.32x = 757,434.94 × 412,764.03
  4. Step 4: Simplify right side
    548,678.32x = 312,641,898,297.21
  5. Step 5: Solve for x
    x = 312,641,898,297.21/548,678.32
  6. Step 6: Final answer
    x = 569,809.10

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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.