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Finding the Fourth Proportional to 402,294.02, 603,441 and 102,775.24

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Solution

The fourth proportional to 402,294.02, 603,441 and 102,775.24 is: 154,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,294.02 : 603,441 = 102,775.24 : x
  2. Step 2: Convert to fraction form
    402,294.02/603,441 = 102,775.24/x
  3. Step 3: Cross multiply
    402,294.02x = 603,441 × 102,775.24
  4. Step 4: Simplify right side
    402,294.02x = 62,018,793,600.84
  5. Step 5: Solve for x
    x = 62,018,793,600.84/402,294.02
  6. Step 6: Final answer
    x = 154,162.85

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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.