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Finding the Fourth Proportional to 286,530.40, 429,795.60 and 73,297.90

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Solution

The fourth proportional to 286,530.40, 429,795.60 and 73,297.90 is: 109,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,530.40 : 429,795.60 = 73,297.90 : x
  2. Step 2: Convert to fraction form
    286,530.40/429,795.60 = 73,297.90/x
  3. Step 3: Cross multiply
    286,530.40x = 429,795.60 × 73,297.90
  4. Step 4: Simplify right side
    286,530.40x = 31,503,114,909.24
  5. Step 5: Solve for x
    x = 31,503,114,909.24/286,530.40
  6. Step 6: Final answer
    x = 109,946.85

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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.