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Finding the Fourth Proportional to 456,077.20, 684,115.80 and 288,115.60

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Solution

The fourth proportional to 456,077.20, 684,115.80 and 288,115.60 is: 432,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,077.20 : 684,115.80 = 288,115.60 : x
  2. Step 2: Convert to fraction form
    456,077.20/684,115.80 = 288,115.60/x
  3. Step 3: Cross multiply
    456,077.20x = 684,115.80 × 288,115.60
  4. Step 4: Simplify right side
    456,077.20x = 197,104,434,186.48
  5. Step 5: Solve for x
    x = 197,104,434,186.48/456,077.20
  6. Step 6: Final answer
    x = 432,173.40

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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.