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Finding the Fourth Proportional to 400,730.10, 600,141.06 and 231,894.51

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Solution

The fourth proportional to 400,730.10, 600,141.06 and 231,894.51 is: 347,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,730.10 : 600,141.06 = 231,894.51 : x
  2. Step 2: Convert to fraction form
    400,730.10/600,141.06 = 231,894.51/x
  3. Step 3: Cross multiply
    400,730.10x = 600,141.06 × 231,894.51
  4. Step 4: Simplify right side
    400,730.10x = 139,169,417,039.58
  5. Step 5: Solve for x
    x = 139,169,417,039.58/400,730.10
  6. Step 6: Final answer
    x = 347,289.65

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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.