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Finding the Fourth Proportional to 687,478.67, 948,706.30 and 381,537.29

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Solution

The fourth proportional to 687,478.67, 948,706.30 and 381,537.29 is: 526,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,478.67 : 948,706.30 = 381,537.29 : x
  2. Step 2: Convert to fraction form
    687,478.67/948,706.30 = 381,537.29/x
  3. Step 3: Cross multiply
    687,478.67x = 948,706.30 × 381,537.29
  4. Step 4: Simplify right side
    687,478.67x = 361,966,824,056.71
  5. Step 5: Solve for x
    x = 361,966,824,056.71/687,478.67
  6. Step 6: Final answer
    x = 526,513.53

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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.