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Finding the Fourth Proportional to 527,328.04, 790,991.58 and 211,785

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Solution

The fourth proportional to 527,328.04, 790,991.58 and 211,785 is: 317,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,328.04 : 790,991.58 = 211,785 : x
  2. Step 2: Convert to fraction form
    527,328.04/790,991.58 = 211,785/x
  3. Step 3: Cross multiply
    527,328.04x = 790,991.58 × 211,785
  4. Step 4: Simplify right side
    527,328.04x = 167,520,151,770.30
  5. Step 5: Solve for x
    x = 167,520,151,770.30/527,328.04
  6. Step 6: Final answer
    x = 317,677.31

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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.