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Finding the Fourth Proportional to 470,025.60, 705,155.04 and 220,416

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Solution

The fourth proportional to 470,025.60, 705,155.04 and 220,416 is: 330,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,025.60 : 705,155.04 = 220,416 : x
  2. Step 2: Convert to fraction form
    470,025.60/705,155.04 = 220,416/x
  3. Step 3: Cross multiply
    470,025.60x = 705,155.04 × 220,416
  4. Step 4: Simplify right side
    470,025.60x = 155,427,453,296.64
  5. Step 5: Solve for x
    x = 155,427,453,296.64/470,025.60
  6. Step 6: Final answer
    x = 330,678.70

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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.