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Finding the Fourth Proportional to 545,284.20, 816,176.70 and 387,820.20

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Solution

The fourth proportional to 545,284.20, 816,176.70 and 387,820.20 is: 580,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,284.20 : 816,176.70 = 387,820.20 : x
  2. Step 2: Convert to fraction form
    545,284.20/816,176.70 = 387,820.20/x
  3. Step 3: Cross multiply
    545,284.20x = 816,176.70 × 387,820.20
  4. Step 4: Simplify right side
    545,284.20x = 316,529,811,029.34
  5. Step 5: Solve for x
    x = 316,529,811,029.34/545,284.20
  6. Step 6: Final answer
    x = 580,485.94

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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.