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Finding the Fourth Proportional to 400,437.46, 552,605.25 and 257,198.74

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Solution

The fourth proportional to 400,437.46, 552,605.25 and 257,198.74 is: 354,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,437.46 : 552,605.25 = 257,198.74 : x
  2. Step 2: Convert to fraction form
    400,437.46/552,605.25 = 257,198.74/x
  3. Step 3: Cross multiply
    400,437.46x = 552,605.25 × 257,198.74
  4. Step 4: Simplify right side
    400,437.46x = 142,129,374,017.39
  5. Step 5: Solve for x
    x = 142,129,374,017.39/400,437.46
  6. Step 6: Final answer
    x = 354,935.26

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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.