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Finding the Fourth Proportional to 400,146.66, 552,141.09 and 230,347.98

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Solution

The fourth proportional to 400,146.66, 552,141.09 and 230,347.98 is: 317,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,146.66 : 552,141.09 = 230,347.98 : x
  2. Step 2: Convert to fraction form
    400,146.66/552,141.09 = 230,347.98/x
  3. Step 3: Cross multiply
    400,146.66x = 552,141.09 × 230,347.98
  4. Step 4: Simplify right side
    400,146.66x = 127,184,584,756.50
  5. Step 5: Solve for x
    x = 127,184,584,756.50/400,146.66
  6. Step 6: Final answer
    x = 317,844.92

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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.