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Finding the Fourth Proportional to 219,243.71, 302,350.98 and 145,525.77

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Solution

The fourth proportional to 219,243.71, 302,350.98 and 145,525.77 is: 200,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,243.71 : 302,350.98 = 145,525.77 : x
  2. Step 2: Convert to fraction form
    219,243.71/302,350.98 = 145,525.77/x
  3. Step 3: Cross multiply
    219,243.71x = 302,350.98 × 145,525.77
  4. Step 4: Simplify right side
    219,243.71x = 43,999,859,174.75
  5. Step 5: Solve for x
    x = 43,999,859,174.75/219,243.71
  6. Step 6: Final answer
    x = 200,689.27

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1.5x scale

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.