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Finding the Fourth Proportional to 407,471.84, 611,847.50 and 345,109.53

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Solution

The fourth proportional to 407,471.84, 611,847.50 and 345,109.53 is: 518,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,471.84 : 611,847.50 = 345,109.53 : x
  2. Step 2: Convert to fraction form
    407,471.84/611,847.50 = 345,109.53/x
  3. Step 3: Cross multiply
    407,471.84x = 611,847.50 × 345,109.53
  4. Step 4: Simplify right side
    407,471.84x = 211,154,401,431.13
  5. Step 5: Solve for x
    x = 211,154,401,431.13/407,471.84
  6. Step 6: Final answer
    x = 518,206.13

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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.