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Finding the Fourth Proportional to 401,126.53, 553,235.75 and 340,896.55

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Solution

The fourth proportional to 401,126.53, 553,235.75 and 340,896.55 is: 470,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,126.53 : 553,235.75 = 340,896.55 : x
  2. Step 2: Convert to fraction form
    401,126.53/553,235.75 = 340,896.55/x
  3. Step 3: Cross multiply
    401,126.53x = 553,235.75 × 340,896.55
  4. Step 4: Simplify right side
    401,126.53x = 188,596,156,781.00
  5. Step 5: Solve for x
    x = 188,596,156,781.00/401,126.53
  6. Step 6: Final answer
    x = 470,166.25

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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.