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Finding the Fourth Proportional to 472,663.84, 652,239.12 and 257,791.36

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Solution

The fourth proportional to 472,663.84, 652,239.12 and 257,791.36 is: 355,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,663.84 : 652,239.12 = 257,791.36 : x
  2. Step 2: Convert to fraction form
    472,663.84/652,239.12 = 257,791.36/x
  3. Step 3: Cross multiply
    472,663.84x = 652,239.12 × 257,791.36
  4. Step 4: Simplify right side
    472,663.84x = 168,141,609,790.00
  5. Step 5: Solve for x
    x = 168,141,609,790.00/472,663.84
  6. Step 6: Final answer
    x = 355,731.91

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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.