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Finding the Fourth Proportional to 219,321.40, 329,111.70 and 160,007.80

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Solution

The fourth proportional to 219,321.40, 329,111.70 and 160,007.80 is: 240,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,321.40 : 329,111.70 = 160,007.80 : x
  2. Step 2: Convert to fraction form
    219,321.40/329,111.70 = 160,007.80/x
  3. Step 3: Cross multiply
    219,321.40x = 329,111.70 × 160,007.80
  4. Step 4: Simplify right side
    219,321.40x = 52,660,439,071.26
  5. Step 5: Solve for x
    x = 52,660,439,071.26/219,321.40
  6. Step 6: Final answer
    x = 240,106.25

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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.