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Finding the Fourth Proportional to 462,845.90, 694,019.21 and 209,988.42

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Solution

The fourth proportional to 462,845.90, 694,019.21 and 209,988.42 is: 314,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,845.90 : 694,019.21 = 209,988.42 : x
  2. Step 2: Convert to fraction form
    462,845.90/694,019.21 = 209,988.42/x
  3. Step 3: Cross multiply
    462,845.90x = 694,019.21 × 209,988.42
  4. Step 4: Simplify right side
    462,845.90x = 145,736,001,332.60
  5. Step 5: Solve for x
    x = 145,736,001,332.60/462,845.90
  6. Step 6: Final answer
    x = 314,869.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.