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Finding the Fourth Proportional to 400,730.54, 553,007.27 and 216,968.19

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Solution

The fourth proportional to 400,730.54, 553,007.27 and 216,968.19 is: 299,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,730.54 : 553,007.27 = 216,968.19 : x
  2. Step 2: Convert to fraction form
    400,730.54/553,007.27 = 216,968.19/x
  3. Step 3: Cross multiply
    400,730.54x = 553,007.27 × 216,968.19
  4. Step 4: Simplify right side
    400,730.54x = 119,984,983,676.94
  5. Step 5: Solve for x
    x = 119,984,983,676.94/400,730.54
  6. Step 6: Final answer
    x = 299,415.62

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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.