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Finding the Fourth Proportional to 402,205.64, 603,307.67 and 102,686.10

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Solution

The fourth proportional to 402,205.64, 603,307.67 and 102,686.10 is: 154,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,205.64 : 603,307.67 = 102,686.10 : x
  2. Step 2: Convert to fraction form
    402,205.64/603,307.67 = 102,686.10/x
  3. Step 3: Cross multiply
    402,205.64x = 603,307.67 × 102,686.10
  4. Step 4: Simplify right side
    402,205.64x = 61,951,311,218.96
  5. Step 5: Solve for x
    x = 61,951,311,218.96/402,205.64
  6. Step 6: Final answer
    x = 154,028.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.