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Finding the Fourth Proportional to 346,689, 520,033.50 and 84,033

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Solution

The fourth proportional to 346,689, 520,033.50 and 84,033 is: 126,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,689 : 520,033.50 = 84,033 : x
  2. Step 2: Convert to fraction form
    346,689/520,033.50 = 84,033/x
  3. Step 3: Cross multiply
    346,689x = 520,033.50 × 84,033
  4. Step 4: Simplify right side
    346,689x = 43,699,975,105.50
  5. Step 5: Solve for x
    x = 43,699,975,105.50/346,689
  6. Step 6: Final answer
    x = 126,049.50

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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.