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Finding the Fourth Proportional to 402,416, 603,710.40 and 136,183.04

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Solution

The fourth proportional to 402,416, 603,710.40 and 136,183.04 is: 204,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416 : 603,710.40 = 136,183.04 : x
  2. Step 2: Convert to fraction form
    402,416/603,710.40 = 136,183.04/x
  3. Step 3: Cross multiply
    402,416x = 603,710.40 × 136,183.04
  4. Step 4: Simplify right side
    402,416x = 82,215,117,551.62
  5. Step 5: Solve for x
    x = 82,215,117,551.62/402,416
  6. Step 6: Final answer
    x = 204,303.80

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1.5x scale

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.