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Finding the Fourth Proportional to 671,352.64, 926,358.24 and 384,820

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Solution

The fourth proportional to 671,352.64, 926,358.24 and 384,820 is: 530,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,352.64 : 926,358.24 = 384,820 : x
  2. Step 2: Convert to fraction form
    671,352.64/926,358.24 = 384,820/x
  3. Step 3: Cross multiply
    671,352.64x = 926,358.24 × 384,820
  4. Step 4: Simplify right side
    671,352.64x = 356,481,177,916.80
  5. Step 5: Solve for x
    x = 356,481,177,916.80/671,352.64
  6. Step 6: Final answer
    x = 530,989.46

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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.