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Finding the Fourth Proportional to 705,293.63, 973,969.50 and 491,019.62

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Solution

The fourth proportional to 705,293.63, 973,969.50 and 491,019.62 is: 678,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,293.63 : 973,969.50 = 491,019.62 : x
  2. Step 2: Convert to fraction form
    705,293.63/973,969.50 = 491,019.62/x
  3. Step 3: Cross multiply
    705,293.63x = 973,969.50 × 491,019.62
  4. Step 4: Simplify right side
    705,293.63x = 478,238,133,781.59
  5. Step 5: Solve for x
    x = 478,238,133,781.59/705,293.63
  6. Step 6: Final answer
    x = 678,069.55

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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.