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Finding the Fourth Proportional to 389,867.84, 538,106.48 and 253,661.48

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Solution

The fourth proportional to 389,867.84, 538,106.48 and 253,661.48 is: 350,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,867.84 : 538,106.48 = 253,661.48 : x
  2. Step 2: Convert to fraction form
    389,867.84/538,106.48 = 253,661.48/x
  3. Step 3: Cross multiply
    389,867.84x = 538,106.48 × 253,661.48
  4. Step 4: Simplify right side
    389,867.84x = 136,496,886,114.39
  5. Step 5: Solve for x
    x = 136,496,886,114.39/389,867.84
  6. Step 6: Final answer
    x = 350,110.66

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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.