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Finding the Fourth Proportional to 219,210.94, 328,622.01 and 106,828.30

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Solution

The fourth proportional to 219,210.94, 328,622.01 and 106,828.30 is: 160,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,210.94 : 328,622.01 = 106,828.30 : x
  2. Step 2: Convert to fraction form
    219,210.94/328,622.01 = 106,828.30/x
  3. Step 3: Cross multiply
    219,210.94x = 328,622.01 × 106,828.30
  4. Step 4: Simplify right side
    219,210.94x = 35,106,130,670.88
  5. Step 5: Solve for x
    x = 35,106,130,670.88/219,210.94
  6. Step 6: Final answer
    x = 160,147.71

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1.5x scale

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.