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Finding the Fourth Proportional to 418,807.68, 578,168.64 and 323,099.52

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Solution

The fourth proportional to 418,807.68, 578,168.64 and 323,099.52 is: 446,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,807.68 : 578,168.64 = 323,099.52 : x
  2. Step 2: Convert to fraction form
    418,807.68/578,168.64 = 323,099.52/x
  3. Step 3: Cross multiply
    418,807.68x = 578,168.64 × 323,099.52
  4. Step 4: Simplify right side
    418,807.68x = 186,806,010,063.05
  5. Step 5: Solve for x
    x = 186,806,010,063.05/418,807.68
  6. Step 6: Final answer
    x = 446,042.47

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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.