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Finding the Fourth Proportional to 470,597.28, 649,095.84 and 309,400.80

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Solution

The fourth proportional to 470,597.28, 649,095.84 and 309,400.80 is: 426,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,597.28 : 649,095.84 = 309,400.80 : x
  2. Step 2: Convert to fraction form
    470,597.28/649,095.84 = 309,400.80/x
  3. Step 3: Cross multiply
    470,597.28x = 649,095.84 × 309,400.80
  4. Step 4: Simplify right side
    470,597.28x = 200,830,772,172.67
  5. Step 5: Solve for x
    x = 200,830,772,172.67/470,597.28
  6. Step 6: Final answer
    x = 426,757.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.