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Finding the Fourth Proportional to 470,270.36, 648,597.84 and 309,290.78

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Solution

The fourth proportional to 470,270.36, 648,597.84 and 309,290.78 is: 426,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,270.36 : 648,597.84 = 309,290.78 : x
  2. Step 2: Convert to fraction form
    470,270.36/648,597.84 = 309,290.78/x
  3. Step 3: Cross multiply
    470,270.36x = 648,597.84 × 309,290.78
  4. Step 4: Simplify right side
    470,270.36x = 200,605,331,839.92
  5. Step 5: Solve for x
    x = 200,605,331,839.92/470,270.36
  6. Step 6: Final answer
    x = 426,574.47

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1.5x scale

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.