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Finding the Fourth Proportional to 678,239.73, 936,018.14 and 448,397.69

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Solution

The fourth proportional to 678,239.73, 936,018.14 and 448,397.69 is: 618,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,239.73 : 936,018.14 = 448,397.69 : x
  2. Step 2: Convert to fraction form
    678,239.73/936,018.14 = 448,397.69/x
  3. Step 3: Cross multiply
    678,239.73x = 936,018.14 × 448,397.69
  4. Step 4: Simplify right side
    678,239.73x = 419,708,364,852.02
  5. Step 5: Solve for x
    x = 419,708,364,852.02/678,239.73
  6. Step 6: Final answer
    x = 618,820.08

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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.