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Finding the Fourth Proportional to 569,953.76, 786,512.56 and 311,829.44

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Solution

The fourth proportional to 569,953.76, 786,512.56 and 311,829.44 is: 430,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,953.76 : 786,512.56 = 311,829.44 : x
  2. Step 2: Convert to fraction form
    569,953.76/786,512.56 = 311,829.44/x
  3. Step 3: Cross multiply
    569,953.76x = 786,512.56 × 311,829.44
  4. Step 4: Simplify right side
    569,953.76x = 245,257,771,137.77
  5. Step 5: Solve for x
    x = 245,257,771,137.77/569,953.76
  6. Step 6: Final answer
    x = 430,311.70

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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.