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Finding the Fourth Proportional to 502,010.10, 752,509.71 and 221,477.94

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Solution

The fourth proportional to 502,010.10, 752,509.71 and 221,477.94 is: 331,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,010.10 : 752,509.71 = 221,477.94 : x
  2. Step 2: Convert to fraction form
    502,010.10/752,509.71 = 221,477.94/x
  3. Step 3: Cross multiply
    502,010.10x = 752,509.71 × 221,477.94
  4. Step 4: Simplify right side
    502,010.10x = 166,664,300,400.80
  5. Step 5: Solve for x
    x = 166,664,300,400.80/502,010.10
  6. Step 6: Final answer
    x = 331,993.92

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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.