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Finding the Fourth Proportional to 380,706.32, 571,063.53 and 156,009.08

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Solution

The fourth proportional to 380,706.32, 571,063.53 and 156,009.08 is: 234,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,706.32 : 571,063.53 = 156,009.08 : x
  2. Step 2: Convert to fraction form
    380,706.32/571,063.53 = 156,009.08/x
  3. Step 3: Cross multiply
    380,706.32x = 571,063.53 × 156,009.08
  4. Step 4: Simplify right side
    380,706.32x = 89,091,095,936.85
  5. Step 5: Solve for x
    x = 89,091,095,936.85/380,706.32
  6. Step 6: Final answer
    x = 234,015.28

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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.