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Finding the Fourth Proportional to 407,708.40, 612,218.70 and 307,981.20

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Solution

The fourth proportional to 407,708.40, 612,218.70 and 307,981.20 is: 462,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,708.40 : 612,218.70 = 307,981.20 : x
  2. Step 2: Convert to fraction form
    407,708.40/612,218.70 = 307,981.20/x
  3. Step 3: Cross multiply
    407,708.40x = 612,218.70 × 307,981.20
  4. Step 4: Simplify right side
    407,708.40x = 188,551,849,888.44
  5. Step 5: Solve for x
    x = 188,551,849,888.44/407,708.40
  6. Step 6: Final answer
    x = 462,467.42

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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.