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Finding the Fourth Proportional to 456,070.20, 684,105.30 and 288,108.60

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Solution

The fourth proportional to 456,070.20, 684,105.30 and 288,108.60 is: 432,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,070.20 : 684,105.30 = 288,108.60 : x
  2. Step 2: Convert to fraction form
    456,070.20/684,105.30 = 288,108.60/x
  3. Step 3: Cross multiply
    456,070.20x = 684,105.30 × 288,108.60
  4. Step 4: Simplify right side
    456,070.20x = 197,096,620,235.58
  5. Step 5: Solve for x
    x = 197,096,620,235.58/456,070.20
  6. Step 6: Final answer
    x = 432,162.90

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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.