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Finding the Fourth Proportional to 258,475.80, 356,681.64 and 143,747.82

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Solution

The fourth proportional to 258,475.80, 356,681.64 and 143,747.82 is: 198,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,475.80 : 356,681.64 = 143,747.82 : x
  2. Step 2: Convert to fraction form
    258,475.80/356,681.64 = 143,747.82/x
  3. Step 3: Cross multiply
    258,475.80x = 356,681.64 × 143,747.82
  4. Step 4: Simplify right side
    258,475.80x = 51,272,208,184.02
  5. Step 5: Solve for x
    x = 51,272,208,184.02/258,475.80
  6. Step 6: Final answer
    x = 198,363.67

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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.