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Finding the Fourth Proportional to 477,929.61, 659,451.78 and 305,715.69

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Solution

The fourth proportional to 477,929.61, 659,451.78 and 305,715.69 is: 421,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,929.61 : 659,451.78 = 305,715.69 : x
  2. Step 2: Convert to fraction form
    477,929.61/659,451.78 = 305,715.69/x
  3. Step 3: Cross multiply
    477,929.61x = 659,451.78 × 305,715.69
  4. Step 4: Simplify right side
    477,929.61x = 201,604,755,944.43
  5. Step 5: Solve for x
    x = 201,604,755,944.43/477,929.61
  6. Step 6: Final answer
    x = 421,829.39

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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.