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Finding the Fourth Proportional to 427,832.98, 640,826.84 and 402,680.34

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Solution

The fourth proportional to 427,832.98, 640,826.84 and 402,680.34 is: 603,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,832.98 : 640,826.84 = 402,680.34 : x
  2. Step 2: Convert to fraction form
    427,832.98/640,826.84 = 402,680.34/x
  3. Step 3: Cross multiply
    427,832.98x = 640,826.84 × 402,680.34
  4. Step 4: Simplify right side
    427,832.98x = 258,048,370,819.03
  5. Step 5: Solve for x
    x = 258,048,370,819.03/427,832.98
  6. Step 6: Final answer
    x = 603,152.13

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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.