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Finding the Fourth Proportional to 398,613.84, 597,606.84 and 198,831.36

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Solution

The fourth proportional to 398,613.84, 597,606.84 and 198,831.36 is: 298,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,613.84 : 597,606.84 = 198,831.36 : x
  2. Step 2: Convert to fraction form
    398,613.84/597,606.84 = 198,831.36/x
  3. Step 3: Cross multiply
    398,613.84x = 597,606.84 × 198,831.36
  4. Step 4: Simplify right side
    398,613.84x = 118,822,980,742.50
  5. Step 5: Solve for x
    x = 118,822,980,742.50/398,613.84
  6. Step 6: Final answer
    x = 298,090.45

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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.