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Finding the Fourth Proportional to 698,653, 964,141.14 and 380,701

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Solution

The fourth proportional to 698,653, 964,141.14 and 380,701 is: 525,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,653 : 964,141.14 = 380,701 : x
  2. Step 2: Convert to fraction form
    698,653/964,141.14 = 380,701/x
  3. Step 3: Cross multiply
    698,653x = 964,141.14 × 380,701
  4. Step 4: Simplify right side
    698,653x = 367,049,496,139.14
  5. Step 5: Solve for x
    x = 367,049,496,139.14/698,653
  6. Step 6: Final answer
    x = 525,367.38

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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.