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Finding the Fourth Proportional to 402,492.46, 603,734.43 and 102,970.66

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Solution

The fourth proportional to 402,492.46, 603,734.43 and 102,970.66 is: 154,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,492.46 : 603,734.43 = 102,970.66 : x
  2. Step 2: Convert to fraction form
    402,492.46/603,734.43 = 102,970.66/x
  3. Step 3: Cross multiply
    402,492.46x = 603,734.43 × 102,970.66
  4. Step 4: Simplify right side
    402,492.46x = 62,166,932,151.42
  5. Step 5: Solve for x
    x = 62,166,932,151.42/402,492.46
  6. Step 6: Final answer
    x = 154,454.90

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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.