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Finding the Fourth Proportional to 284,108.76, 425,646.30 and 165,420.27

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Solution

The fourth proportional to 284,108.76, 425,646.30 and 165,420.27 is: 247,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,108.76 : 425,646.30 = 165,420.27 : x
  2. Step 2: Convert to fraction form
    284,108.76/425,646.30 = 165,420.27/x
  3. Step 3: Cross multiply
    284,108.76x = 425,646.30 × 165,420.27
  4. Step 4: Simplify right side
    284,108.76x = 70,410,525,870.50
  5. Step 5: Solve for x
    x = 70,410,525,870.50/284,108.76
  6. Step 6: Final answer
    x = 247,829.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.