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Finding the Fourth Proportional to 400,635.04, 553,251 and 257,643.31

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Solution

The fourth proportional to 400,635.04, 553,251 and 257,643.31 is: 355,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,635.04 : 553,251 = 257,643.31 : x
  2. Step 2: Convert to fraction form
    400,635.04/553,251 = 257,643.31/x
  3. Step 3: Cross multiply
    400,635.04x = 553,251 × 257,643.31
  4. Step 4: Simplify right side
    400,635.04x = 142,541,418,900.81
  5. Step 5: Solve for x
    x = 142,541,418,900.81/400,635.04
  6. Step 6: Final answer
    x = 355,788.70

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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.