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Finding the Fourth Proportional to 400,773.04, 553,441.44 and 257,781.32

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Solution

The fourth proportional to 400,773.04, 553,441.44 and 257,781.32 is: 355,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,773.04 : 553,441.44 = 257,781.32 : x
  2. Step 2: Convert to fraction form
    400,773.04/553,441.44 = 257,781.32/x
  3. Step 3: Cross multiply
    400,773.04x = 553,441.44 × 257,781.32
  4. Step 4: Simplify right side
    400,773.04x = 142,666,864,945.90
  5. Step 5: Solve for x
    x = 142,666,864,945.90/400,773.04
  6. Step 6: Final answer
    x = 355,979.20

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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.