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Finding the Fourth Proportional to 456,186.40, 684,083.88 and 156,697.12

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Solution

The fourth proportional to 456,186.40, 684,083.88 and 156,697.12 is: 234,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,186.40 : 684,083.88 = 156,697.12 : x
  2. Step 2: Convert to fraction form
    456,186.40/684,083.88 = 156,697.12/x
  3. Step 3: Cross multiply
    456,186.40x = 684,083.88 × 156,697.12
  4. Step 4: Simplify right side
    456,186.40x = 107,193,973,834.43
  5. Step 5: Solve for x
    x = 107,193,973,834.43/456,186.40
  6. Step 6: Final answer
    x = 234,978.45

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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.