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Finding the Fourth Proportional to 472,659.97, 652,278.53 and 257,800.03

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Solution

The fourth proportional to 472,659.97, 652,278.53 and 257,800.03 is: 355,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,659.97 : 652,278.53 = 257,800.03 : x
  2. Step 2: Convert to fraction form
    472,659.97/652,278.53 = 257,800.03/x
  3. Step 3: Cross multiply
    472,659.97x = 652,278.53 × 257,800.03
  4. Step 4: Simplify right side
    472,659.97x = 168,157,424,602.36
  5. Step 5: Solve for x
    x = 168,157,424,602.36/472,659.97
  6. Step 6: Final answer
    x = 355,768.28

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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.