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Finding the Fourth Proportional to 809,462, 1,116,019.14 and 663,730.86

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Solution

The fourth proportional to 809,462, 1,116,019.14 and 663,730.86 is: 915,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,462 : 1,116,019.14 = 663,730.86 : x
  2. Step 2: Convert to fraction form
    809,462/1,116,019.14 = 663,730.86/x
  3. Step 3: Cross multiply
    809,462x = 1,116,019.14 × 663,730.86
  4. Step 4: Simplify right side
    809,462x = 740,736,343,568.66
  5. Step 5: Solve for x
    x = 740,736,343,568.66/809,462
  6. Step 6: Final answer
    x = 915,097.12

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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.