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Finding the Fourth Proportional to 400,653.52, 553,276.44 and 257,661.84

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Solution

The fourth proportional to 400,653.52, 553,276.44 and 257,661.84 is: 355,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,653.52 : 553,276.44 = 257,661.84 : x
  2. Step 2: Convert to fraction form
    400,653.52/553,276.44 = 257,661.84/x
  3. Step 3: Cross multiply
    400,653.52x = 553,276.44 × 257,661.84
  4. Step 4: Simplify right side
    400,653.52x = 142,558,225,559.05
  5. Step 5: Solve for x
    x = 142,558,225,559.05/400,653.52
  6. Step 6: Final answer
    x = 355,814.23

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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.