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Finding the Fourth Proportional to 475,747.07, 713,544.60 and 138,708.91

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Solution

The fourth proportional to 475,747.07, 713,544.60 and 138,708.91 is: 208,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,747.07 : 713,544.60 = 138,708.91 : x
  2. Step 2: Convert to fraction form
    475,747.07/713,544.60 = 138,708.91/x
  3. Step 3: Cross multiply
    475,747.07x = 713,544.60 × 138,708.91
  4. Step 4: Simplify right side
    475,747.07x = 98,974,990,134.66
  5. Step 5: Solve for x
    x = 98,974,990,134.66/475,747.07
  6. Step 6: Final answer
    x = 208,041.20

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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.