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Finding the Fourth Proportional to 432,435.32, 649,051.56 and 219,352.76

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Solution

The fourth proportional to 432,435.32, 649,051.56 and 219,352.76 is: 329,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,435.32 : 649,051.56 = 219,352.76 : x
  2. Step 2: Convert to fraction form
    432,435.32/649,051.56 = 219,352.76/x
  3. Step 3: Cross multiply
    432,435.32x = 649,051.56 × 219,352.76
  4. Step 4: Simplify right side
    432,435.32x = 142,371,251,068.31
  5. Step 5: Solve for x
    x = 142,371,251,068.31/432,435.32
  6. Step 6: Final answer
    x = 329,231.32

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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.