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Finding the Fourth Proportional to 703,680, 971,072.94 and 381,381.84

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Solution

The fourth proportional to 703,680, 971,072.94 and 381,381.84 is: 526,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,680 : 971,072.94 = 381,381.84 : x
  2. Step 2: Convert to fraction form
    703,680/971,072.94 = 381,381.84/x
  3. Step 3: Cross multiply
    703,680x = 971,072.94 × 381,381.84
  4. Step 4: Simplify right side
    703,680x = 370,349,584,631.41
  5. Step 5: Solve for x
    x = 370,349,584,631.41/703,680
  6. Step 6: Final answer
    x = 526,303.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.