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Finding the Fourth Proportional to 702,699.81, 969,726.05 and 380,409.90

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Solution

The fourth proportional to 702,699.81, 969,726.05 and 380,409.90 is: 524,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,699.81 : 969,726.05 = 380,409.90 : x
  2. Step 2: Convert to fraction form
    702,699.81/969,726.05 = 380,409.90/x
  3. Step 3: Cross multiply
    702,699.81x = 969,726.05 × 380,409.90
  4. Step 4: Simplify right side
    702,699.81x = 368,893,387,805.85
  5. Step 5: Solve for x
    x = 368,893,387,805.85/702,699.81
  6. Step 6: Final answer
    x = 524,965.83

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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.