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Finding the Fourth Proportional to 647,105.63, 892,742.73 and 429,416.96

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Solution

The fourth proportional to 647,105.63, 892,742.73 and 429,416.96 is: 592,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,105.63 : 892,742.73 = 429,416.96 : x
  2. Step 2: Convert to fraction form
    647,105.63/892,742.73 = 429,416.96/x
  3. Step 3: Cross multiply
    647,105.63x = 892,742.73 × 429,416.96
  4. Step 4: Simplify right side
    647,105.63x = 383,358,869,178.70
  5. Step 5: Solve for x
    x = 383,358,869,178.70/647,105.63
  6. Step 6: Final answer
    x = 592,420.85

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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.