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Finding the Fourth Proportional to 456,153.10, 684,231.46 and 156,720

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Solution

The fourth proportional to 456,153.10, 684,231.46 and 156,720 is: 235,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,153.10 : 684,231.46 = 156,720 : x
  2. Step 2: Convert to fraction form
    456,153.10/684,231.46 = 156,720/x
  3. Step 3: Cross multiply
    456,153.10x = 684,231.46 × 156,720
  4. Step 4: Simplify right side
    456,153.10x = 107,232,754,411.20
  5. Step 5: Solve for x
    x = 107,232,754,411.20/456,153.10
  6. Step 6: Final answer
    x = 235,080.62

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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.