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Finding the Fourth Proportional to 384,448.80, 530,584.46 and 319,803.82

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Solution

The fourth proportional to 384,448.80, 530,584.46 and 319,803.82 is: 441,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,448.80 : 530,584.46 = 319,803.82 : x
  2. Step 2: Convert to fraction form
    384,448.80/530,584.46 = 319,803.82/x
  3. Step 3: Cross multiply
    384,448.80x = 530,584.46 × 319,803.82
  4. Step 4: Simplify right side
    384,448.80x = 169,682,937,140.64
  5. Step 5: Solve for x
    x = 169,682,937,140.64/384,448.80
  6. Step 6: Final answer
    x = 441,366.80

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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.