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Finding the Fourth Proportional to 427,810.72, 590,378.97 and 234,230.98

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Solution

The fourth proportional to 427,810.72, 590,378.97 and 234,230.98 is: 323,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,810.72 : 590,378.97 = 234,230.98 : x
  2. Step 2: Convert to fraction form
    427,810.72/590,378.97 = 234,230.98/x
  3. Step 3: Cross multiply
    427,810.72x = 590,378.97 × 234,230.98
  4. Step 4: Simplify right side
    427,810.72x = 138,285,044,714.49
  5. Step 5: Solve for x
    x = 138,285,044,714.49/427,810.72
  6. Step 6: Final answer
    x = 323,238.85

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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.