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Finding the Fourth Proportional to 443,821, 612,473 and 242,617

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Solution

The fourth proportional to 443,821, 612,473 and 242,617 is: 334,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,821 : 612,473 = 242,617 : x
  2. Step 2: Convert to fraction form
    443,821/612,473 = 242,617/x
  3. Step 3: Cross multiply
    443,821x = 612,473 × 242,617
  4. Step 4: Simplify right side
    443,821x = 148,596,361,841
  5. Step 5: Solve for x
    x = 148,596,361,841/443,821
  6. Step 6: Final answer
    x = 334,811.47

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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.