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Finding the Fourth Proportional to 368,859.76, 509,021.48 and 207,716.80

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Solution

The fourth proportional to 368,859.76, 509,021.48 and 207,716.80 is: 286,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,859.76 : 509,021.48 = 207,716.80 : x
  2. Step 2: Convert to fraction form
    368,859.76/509,021.48 = 207,716.80/x
  3. Step 3: Cross multiply
    368,859.76x = 509,021.48 × 207,716.80
  4. Step 4: Simplify right side
    368,859.76x = 105,732,312,956.86
  5. Step 5: Solve for x
    x = 105,732,312,956.86/368,859.76
  6. Step 6: Final answer
    x = 286,646.37

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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.