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Finding the Fourth Proportional to 289,995.90, 434,869.52 and 156,840

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Solution

The fourth proportional to 289,995.90, 434,869.52 and 156,840 is: 235,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,995.90 : 434,869.52 = 156,840 : x
  2. Step 2: Convert to fraction form
    289,995.90/434,869.52 = 156,840/x
  3. Step 3: Cross multiply
    289,995.90x = 434,869.52 × 156,840
  4. Step 4: Simplify right side
    289,995.90x = 68,204,934,732.60
  5. Step 5: Solve for x
    x = 68,204,934,732.60/289,995.90
  6. Step 6: Final answer
    x = 235,192.76

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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.