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Finding the Fourth Proportional to 566,180.82, 781,329.42 and 311,532.03

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Solution

The fourth proportional to 566,180.82, 781,329.42 and 311,532.03 is: 429,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,180.82 : 781,329.42 = 311,532.03 : x
  2. Step 2: Convert to fraction form
    566,180.82/781,329.42 = 311,532.03/x
  3. Step 3: Cross multiply
    566,180.82x = 781,329.42 × 311,532.03
  4. Step 4: Simplify right side
    566,180.82x = 243,409,140,311.32
  5. Step 5: Solve for x
    x = 243,409,140,311.32/566,180.82
  6. Step 6: Final answer
    x = 429,914.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.