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Finding the Fourth Proportional to 830,462, 1,246,222.84 and 297,971.24

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Solution

The fourth proportional to 830,462, 1,246,222.84 and 297,971.24 is: 447,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,462 : 1,246,222.84 = 297,971.24 : x
  2. Step 2: Convert to fraction form
    830,462/1,246,222.84 = 297,971.24/x
  3. Step 3: Cross multiply
    830,462x = 1,246,222.84 × 297,971.24
  4. Step 4: Simplify right side
    830,462x = 371,338,564,951.12
  5. Step 5: Solve for x
    x = 371,338,564,951.12/830,462
  6. Step 6: Final answer
    x = 447,146.97

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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.