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Finding the Fourth Proportional to 402,103.45, 555,027.33 and 258,863.50

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Solution

The fourth proportional to 402,103.45, 555,027.33 and 258,863.50 is: 357,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,103.45 : 555,027.33 = 258,863.50 : x
  2. Step 2: Convert to fraction form
    402,103.45/555,027.33 = 258,863.50/x
  3. Step 3: Cross multiply
    402,103.45x = 555,027.33 × 258,863.50
  4. Step 4: Simplify right side
    402,103.45x = 143,676,317,239.46
  5. Step 5: Solve for x
    x = 143,676,317,239.46/402,103.45
  6. Step 6: Final answer
    x = 357,311.82

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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.