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Finding the Fourth Proportional to 469,476, 647,910.36 and 265,528.80

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Solution

The fourth proportional to 469,476, 647,910.36 and 265,528.80 is: 366,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,476 : 647,910.36 = 265,528.80 : x
  2. Step 2: Convert to fraction form
    469,476/647,910.36 = 265,528.80/x
  3. Step 3: Cross multiply
    469,476x = 647,910.36 × 265,528.80
  4. Step 4: Simplify right side
    469,476x = 172,038,860,398.37
  5. Step 5: Solve for x
    x = 172,038,860,398.37/469,476
  6. Step 6: Final answer
    x = 366,448.68

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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.