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Finding the Fourth Proportional to 400,633.04, 553,248.24 and 257,641.31

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Solution

The fourth proportional to 400,633.04, 553,248.24 and 257,641.31 is: 355,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,633.04 : 553,248.24 = 257,641.31 : x
  2. Step 2: Convert to fraction form
    400,633.04/553,248.24 = 257,641.31/x
  3. Step 3: Cross multiply
    400,633.04x = 553,248.24 × 257,641.31
  4. Step 4: Simplify right side
    400,633.04x = 142,539,601,308.79
  5. Step 5: Solve for x
    x = 142,539,601,308.79/400,633.04
  6. Step 6: Final answer
    x = 355,785.94

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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.