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Finding the Fourth Proportional to 400,970.81, 553,339.70 and 219,689.60

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Solution

The fourth proportional to 400,970.81, 553,339.70 and 219,689.60 is: 303,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,970.81 : 553,339.70 = 219,689.60 : x
  2. Step 2: Convert to fraction form
    400,970.81/553,339.70 = 219,689.60/x
  3. Step 3: Cross multiply
    400,970.81x = 553,339.70 × 219,689.60
  4. Step 4: Simplify right side
    400,970.81x = 121,562,976,390.83
  5. Step 5: Solve for x
    x = 121,562,976,390.83/400,970.81
  6. Step 6: Final answer
    x = 303,171.64

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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.