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Finding the Fourth Proportional to 289,733, 434,724.38 and 156,706.92

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Solution

The fourth proportional to 289,733, 434,724.38 and 156,706.92 is: 235,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,733 : 434,724.38 = 156,706.92 : x
  2. Step 2: Convert to fraction form
    289,733/434,724.38 = 156,706.92/x
  3. Step 3: Cross multiply
    289,733x = 434,724.38 × 156,706.92
  4. Step 4: Simplify right side
    289,733x = 68,124,318,638.71
  5. Step 5: Solve for x
    x = 68,124,318,638.71/289,733
  6. Step 6: Final answer
    x = 235,127.92

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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.