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Finding the Fourth Proportional to 677,100, 934,398.14 and 375,294

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Solution

The fourth proportional to 677,100, 934,398.14 and 375,294 is: 517,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,100 : 934,398.14 = 375,294 : x
  2. Step 2: Convert to fraction form
    677,100/934,398.14 = 375,294/x
  3. Step 3: Cross multiply
    677,100x = 934,398.14 × 375,294
  4. Step 4: Simplify right side
    677,100x = 350,674,013,676.69
  5. Step 5: Solve for x
    x = 350,674,013,676.69/677,100
  6. Step 6: Final answer
    x = 517,905.79

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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.