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Finding the Fourth Proportional to 515,842.20, 773,107.20 and 459,417.60

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Solution

The fourth proportional to 515,842.20, 773,107.20 and 459,417.60 is: 688,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,842.20 : 773,107.20 = 459,417.60 : x
  2. Step 2: Convert to fraction form
    515,842.20/773,107.20 = 459,417.60/x
  3. Step 3: Cross multiply
    515,842.20x = 773,107.20 × 459,417.60
  4. Step 4: Simplify right side
    515,842.20x = 355,179,054,366.72
  5. Step 5: Solve for x
    x = 355,179,054,366.72/515,842.20
  6. Step 6: Final answer
    x = 688,542.07

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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.