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Finding the Fourth Proportional to 289,302.92, 434,016.36 and 147,167.96

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Solution

The fourth proportional to 289,302.92, 434,016.36 and 147,167.96 is: 220,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,302.92 : 434,016.36 = 147,167.96 : x
  2. Step 2: Convert to fraction form
    289,302.92/434,016.36 = 147,167.96/x
  3. Step 3: Cross multiply
    289,302.92x = 434,016.36 × 147,167.96
  4. Step 4: Simplify right side
    289,302.92x = 63,873,302,307.83
  5. Step 5: Solve for x
    x = 63,873,302,307.83/289,302.92
  6. Step 6: Final answer
    x = 220,783.47

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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.