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Finding the Fourth Proportional to 286,380.74, 429,406.50 and 118,017.30

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Solution

The fourth proportional to 286,380.74, 429,406.50 and 118,017.30 is: 176,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,380.74 : 429,406.50 = 118,017.30 : x
  2. Step 2: Convert to fraction form
    286,380.74/429,406.50 = 118,017.30/x
  3. Step 3: Cross multiply
    286,380.74x = 429,406.50 × 118,017.30
  4. Step 4: Simplify right side
    286,380.74x = 50,677,395,732.45
  5. Step 5: Solve for x
    x = 50,677,395,732.45/286,380.74
  6. Step 6: Final answer
    x = 176,958.11

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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.