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Finding the Fourth Proportional to 677,658.48, 935,188.92 and 375,846

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Solution

The fourth proportional to 677,658.48, 935,188.92 and 375,846 is: 518,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,658.48 : 935,188.92 = 375,846 : x
  2. Step 2: Convert to fraction form
    677,658.48/935,188.92 = 375,846/x
  3. Step 3: Cross multiply
    677,658.48x = 935,188.92 × 375,846
  4. Step 4: Simplify right side
    677,658.48x = 351,487,014,826.32
  5. Step 5: Solve for x
    x = 351,487,014,826.32/677,658.48
  6. Step 6: Final answer
    x = 518,678.69

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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.