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Finding the Fourth Proportional to 284,950.88, 427,465.20 and 118,700

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Solution

The fourth proportional to 284,950.88, 427,465.20 and 118,700 is: 178,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,950.88 : 427,465.20 = 118,700 : x
  2. Step 2: Convert to fraction form
    284,950.88/427,465.20 = 118,700/x
  3. Step 3: Cross multiply
    284,950.88x = 427,465.20 × 118,700
  4. Step 4: Simplify right side
    284,950.88x = 50,740,119,240
  5. Step 5: Solve for x
    x = 50,740,119,240/284,950.88
  6. Step 6: Final answer
    x = 178,066.20

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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.