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Finding the Fourth Proportional to 830,460, 1,246,219.83 and 297,969.24

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Solution

The fourth proportional to 830,460, 1,246,219.83 and 297,969.24 is: 447,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,460 : 1,246,219.83 = 297,969.24 : x
  2. Step 2: Convert to fraction form
    830,460/1,246,219.83 = 297,969.24/x
  3. Step 3: Cross multiply
    830,460x = 1,246,219.83 × 297,969.24
  4. Step 4: Simplify right side
    830,460x = 371,335,175,618.03
  5. Step 5: Solve for x
    x = 371,335,175,618.03/830,460
  6. Step 6: Final answer
    x = 447,143.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.