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Finding the Fourth Proportional to 706,898.25, 975,512.03 and 420,412.05

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Solution

The fourth proportional to 706,898.25, 975,512.03 and 420,412.05 is: 580,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,898.25 : 975,512.03 = 420,412.05 : x
  2. Step 2: Convert to fraction form
    706,898.25/975,512.03 = 420,412.05/x
  3. Step 3: Cross multiply
    706,898.25x = 975,512.03 × 420,412.05
  4. Step 4: Simplify right side
    706,898.25x = 410,117,010,229.90
  5. Step 5: Solve for x
    x = 410,117,010,229.90/706,898.25
  6. Step 6: Final answer
    x = 580,164.13

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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.