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Finding the Fourth Proportional to 402,416.10, 603,405.45 and 165,782.70

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Solution

The fourth proportional to 402,416.10, 603,405.45 and 165,782.70 is: 248,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416.10 : 603,405.45 = 165,782.70 : x
  2. Step 2: Convert to fraction form
    402,416.10/603,405.45 = 165,782.70/x
  3. Step 3: Cross multiply
    402,416.10x = 603,405.45 × 165,782.70
  4. Step 4: Simplify right side
    402,416.10x = 100,034,184,695.72
  5. Step 5: Solve for x
    x = 100,034,184,695.72/402,416.10
  6. Step 6: Final answer
    x = 248,583.95

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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.