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Finding the Fourth Proportional to 648,113.20, 972,169.80 and 512,810.80

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Solution

The fourth proportional to 648,113.20, 972,169.80 and 512,810.80 is: 769,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,113.20 : 972,169.80 = 512,810.80 : x
  2. Step 2: Convert to fraction form
    648,113.20/972,169.80 = 512,810.80/x
  3. Step 3: Cross multiply
    648,113.20x = 972,169.80 × 512,810.80
  4. Step 4: Simplify right side
    648,113.20x = 498,539,172,873.84
  5. Step 5: Solve for x
    x = 498,539,172,873.84/648,113.20
  6. Step 6: Final answer
    x = 769,216.20

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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.