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Finding the Fourth Proportional to 475,686.45, 713,634.63 and 138,753.47

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Solution

The fourth proportional to 475,686.45, 713,634.63 and 138,753.47 is: 208,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,686.45 : 713,634.63 = 138,753.47 : x
  2. Step 2: Convert to fraction form
    475,686.45/713,634.63 = 138,753.47/x
  3. Step 3: Cross multiply
    475,686.45x = 713,634.63 × 138,753.47
  4. Step 4: Simplify right side
    475,686.45x = 99,019,277,656.49
  5. Step 5: Solve for x
    x = 99,019,277,656.49/475,686.45
  6. Step 6: Final answer
    x = 208,160.81

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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.