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Finding the Fourth Proportional to 470,512.80, 705,769.20 and 338,636.70

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Solution

The fourth proportional to 470,512.80, 705,769.20 and 338,636.70 is: 507,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,512.80 : 705,769.20 = 338,636.70 : x
  2. Step 2: Convert to fraction form
    470,512.80/705,769.20 = 338,636.70/x
  3. Step 3: Cross multiply
    470,512.80x = 705,769.20 × 338,636.70
  4. Step 4: Simplify right side
    470,512.80x = 238,999,352,849.64
  5. Step 5: Solve for x
    x = 238,999,352,849.64/470,512.80
  6. Step 6: Final answer
    x = 507,955.05

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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.