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Finding the Fourth Proportional to 407,552.40, 611,984.70 and 307,825.20

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Solution

The fourth proportional to 407,552.40, 611,984.70 and 307,825.20 is: 462,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,552.40 : 611,984.70 = 307,825.20 : x
  2. Step 2: Convert to fraction form
    407,552.40/611,984.70 = 307,825.20/x
  3. Step 3: Cross multiply
    407,552.40x = 611,984.70 × 307,825.20
  4. Step 4: Simplify right side
    407,552.40x = 188,384,312,674.44
  5. Step 5: Solve for x
    x = 188,384,312,674.44/407,552.40
  6. Step 6: Final answer
    x = 462,233.35

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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.