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Finding the Fourth Proportional to 400,508.21, 552,699.87 and 216,746.40

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Solution

The fourth proportional to 400,508.21, 552,699.87 and 216,746.40 is: 299,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,508.21 : 552,699.87 = 216,746.40 : x
  2. Step 2: Convert to fraction form
    400,508.21/552,699.87 = 216,746.40/x
  3. Step 3: Cross multiply
    400,508.21x = 552,699.87 × 216,746.40
  4. Step 4: Simplify right side
    400,508.21x = 119,795,707,102.97
  5. Step 5: Solve for x
    x = 119,795,707,102.97/400,508.21
  6. Step 6: Final answer
    x = 299,109.25

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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.