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Finding the Fourth Proportional to 401,654.84, 554,206.25 and 258,395.40

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Solution

The fourth proportional to 401,654.84, 554,206.25 and 258,395.40 is: 356,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,654.84 : 554,206.25 = 258,395.40 : x
  2. Step 2: Convert to fraction form
    401,654.84/554,206.25 = 258,395.40/x
  3. Step 3: Cross multiply
    401,654.84x = 554,206.25 × 258,395.40
  4. Step 4: Simplify right side
    401,654.84x = 143,204,346,297.24
  5. Step 5: Solve for x
    x = 143,204,346,297.24/401,654.84
  6. Step 6: Final answer
    x = 356,535.85

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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.