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Finding the Fourth Proportional to 398,809.14, 598,329.53 and 128,931.51

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Solution

The fourth proportional to 398,809.14, 598,329.53 and 128,931.51 is: 193,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,809.14 : 598,329.53 = 128,931.51 : x
  2. Step 2: Convert to fraction form
    398,809.14/598,329.53 = 128,931.51/x
  3. Step 3: Cross multiply
    398,809.14x = 598,329.53 × 128,931.51
  4. Step 4: Simplify right side
    398,809.14x = 77,143,529,780.49
  5. Step 5: Solve for x
    x = 77,143,529,780.49/398,809.14
  6. Step 6: Final answer
    x = 193,434.71

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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.