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Finding the Fourth Proportional to 678,614, 936,602.56 and 392,300.08

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Solution

The fourth proportional to 678,614, 936,602.56 and 392,300.08 is: 541,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,614 : 936,602.56 = 392,300.08 : x
  2. Step 2: Convert to fraction form
    678,614/936,602.56 = 392,300.08/x
  3. Step 3: Cross multiply
    678,614x = 936,602.56 × 392,300.08
  4. Step 4: Simplify right side
    678,614x = 367,429,259,216.21
  5. Step 5: Solve for x
    x = 367,429,259,216.21/678,614
  6. Step 6: Final answer
    x = 541,440.73

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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.