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Finding the Fourth Proportional to 402,102.45, 555,025.95 and 258,862.50

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Solution

The fourth proportional to 402,102.45, 555,025.95 and 258,862.50 is: 357,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,102.45 : 555,025.95 = 258,862.50 : x
  2. Step 2: Convert to fraction form
    402,102.45/555,025.95 = 258,862.50/x
  3. Step 3: Cross multiply
    402,102.45x = 555,025.95 × 258,862.50
  4. Step 4: Simplify right side
    402,102.45x = 143,675,404,981.88
  5. Step 5: Solve for x
    x = 143,675,404,981.88/402,102.45
  6. Step 6: Final answer
    x = 357,310.44

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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.