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Finding the Fourth Proportional to 290,124.12, 434,871.30 and 112,578.84

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Solution

The fourth proportional to 290,124.12, 434,871.30 and 112,578.84 is: 168,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,124.12 : 434,871.30 = 112,578.84 : x
  2. Step 2: Convert to fraction form
    290,124.12/434,871.30 = 112,578.84/x
  3. Step 3: Cross multiply
    290,124.12x = 434,871.30 × 112,578.84
  4. Step 4: Simplify right side
    290,124.12x = 48,957,306,503.29
  5. Step 5: Solve for x
    x = 48,957,306,503.29/290,124.12
  6. Step 6: Final answer
    x = 168,746.07

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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.