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Finding the Fourth Proportional to 470,037.60, 705,173.04 and 220,428

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Solution

The fourth proportional to 470,037.60, 705,173.04 and 220,428 is: 330,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,037.60 : 705,173.04 = 220,428 : x
  2. Step 2: Convert to fraction form
    470,037.60/705,173.04 = 220,428/x
  3. Step 3: Cross multiply
    470,037.60x = 705,173.04 × 220,428
  4. Step 4: Simplify right side
    470,037.60x = 155,439,882,861.12
  5. Step 5: Solve for x
    x = 155,439,882,861.12/470,037.60
  6. Step 6: Final answer
    x = 330,696.70

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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.