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Finding the Fourth Proportional to 455,968.68, 683,967 and 156,445.14

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Solution

The fourth proportional to 455,968.68, 683,967 and 156,445.14 is: 234,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,968.68 : 683,967 = 156,445.14 : x
  2. Step 2: Convert to fraction form
    455,968.68/683,967 = 156,445.14/x
  3. Step 3: Cross multiply
    455,968.68x = 683,967 × 156,445.14
  4. Step 4: Simplify right side
    455,968.68x = 107,003,313,070.38
  5. Step 5: Solve for x
    x = 107,003,313,070.38/455,968.68
  6. Step 6: Final answer
    x = 234,672.51

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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.