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Finding the Fourth Proportional to 219,441.76, 328,970.36 and 105,532.47

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Solution

The fourth proportional to 219,441.76, 328,970.36 and 105,532.47 is: 158,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,441.76 : 328,970.36 = 105,532.47 : x
  2. Step 2: Convert to fraction form
    219,441.76/328,970.36 = 105,532.47/x
  3. Step 3: Cross multiply
    219,441.76x = 328,970.36 × 105,532.47
  4. Step 4: Simplify right side
    219,441.76x = 34,717,054,911.42
  5. Step 5: Solve for x
    x = 34,717,054,911.42/219,441.76
  6. Step 6: Final answer
    x = 158,206.24

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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.