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Finding the Fourth Proportional to 545,710.80, 820,315.80 and 389,024.40

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Solution

The fourth proportional to 545,710.80, 820,315.80 and 389,024.40 is: 584,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,710.80 : 820,315.80 = 389,024.40 : x
  2. Step 2: Convert to fraction form
    545,710.80/820,315.80 = 389,024.40/x
  3. Step 3: Cross multiply
    545,710.80x = 820,315.80 × 389,024.40
  4. Step 4: Simplify right side
    545,710.80x = 319,122,861,905.52
  5. Step 5: Solve for x
    x = 319,122,861,905.52/545,710.80
  6. Step 6: Final answer
    x = 584,783.85

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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.