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Finding the Fourth Proportional to 318,743.64, 478,465.74 and 178,620.12

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Solution

The fourth proportional to 318,743.64, 478,465.74 and 178,620.12 is: 268,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,743.64 : 478,465.74 = 178,620.12 : x
  2. Step 2: Convert to fraction form
    318,743.64/478,465.74 = 178,620.12/x
  3. Step 3: Cross multiply
    318,743.64x = 478,465.74 × 178,620.12
  4. Step 4: Simplify right side
    318,743.64x = 85,463,607,894.69
  5. Step 5: Solve for x
    x = 85,463,607,894.69/318,743.64
  6. Step 6: Final answer
    x = 268,126.47

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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.