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Finding the Fourth Proportional to 687,564.03, 948,820.14 and 381,639.54

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Solution

The fourth proportional to 687,564.03, 948,820.14 and 381,639.54 is: 526,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,564.03 : 948,820.14 = 381,639.54 : x
  2. Step 2: Convert to fraction form
    687,564.03/948,820.14 = 381,639.54/x
  3. Step 3: Cross multiply
    687,564.03x = 948,820.14 × 381,639.54
  4. Step 4: Simplify right side
    687,564.03x = 362,107,281,772.34
  5. Step 5: Solve for x
    x = 362,107,281,772.34/687,564.03
  6. Step 6: Final answer
    x = 526,652.45

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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.