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Finding the Fourth Proportional to 400,503.96, 552,694 and 216,742.16

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Solution

The fourth proportional to 400,503.96, 552,694 and 216,742.16 is: 299,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,503.96 : 552,694 = 216,742.16 : x
  2. Step 2: Convert to fraction form
    400,503.96/552,694 = 216,742.16/x
  3. Step 3: Cross multiply
    400,503.96x = 552,694 × 216,742.16
  4. Step 4: Simplify right side
    400,503.96x = 119,792,091,379.04
  5. Step 5: Solve for x
    x = 119,792,091,379.04/400,503.96
  6. Step 6: Final answer
    x = 299,103.39

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1.5x scale

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.