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Finding the Fourth Proportional to 398,690.81, 598,381.73 and 209,285.07

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Solution

The fourth proportional to 398,690.81, 598,381.73 and 209,285.07 is: 314,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,690.81 : 598,381.73 = 209,285.07 : x
  2. Step 2: Convert to fraction form
    398,690.81/598,381.73 = 209,285.07/x
  3. Step 3: Cross multiply
    398,690.81x = 598,381.73 × 209,285.07
  4. Step 4: Simplify right side
    398,690.81x = 125,232,361,203.35
  5. Step 5: Solve for x
    x = 125,232,361,203.35/398,690.81
  6. Step 6: Final answer
    x = 314,108.98

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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.