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Finding the Fourth Proportional to 219,509.50, 302,923.20 and 118,907.50

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Solution

The fourth proportional to 219,509.50, 302,923.20 and 118,907.50 is: 164,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,509.50 : 302,923.20 = 118,907.50 : x
  2. Step 2: Convert to fraction form
    219,509.50/302,923.20 = 118,907.50/x
  3. Step 3: Cross multiply
    219,509.50x = 302,923.20 × 118,907.50
  4. Step 4: Simplify right side
    219,509.50x = 36,019,840,404
  5. Step 5: Solve for x
    x = 36,019,840,404/219,509.50
  6. Step 6: Final answer
    x = 164,092.40

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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.