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Finding the Fourth Proportional to 526,000.50, 725,880.69 and 299,646

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Solution

The fourth proportional to 526,000.50, 725,880.69 and 299,646 is: 413,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,000.50 : 725,880.69 = 299,646 : x
  2. Step 2: Convert to fraction form
    526,000.50/725,880.69 = 299,646/x
  3. Step 3: Cross multiply
    526,000.50x = 725,880.69 × 299,646
  4. Step 4: Simplify right side
    526,000.50x = 217,507,245,235.74
  5. Step 5: Solve for x
    x = 217,507,245,235.74/526,000.50
  6. Step 6: Final answer
    x = 413,511.48

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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.