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Finding the Fourth Proportional to 687,564.53, 948,820.83 and 381,640.04

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Solution

The fourth proportional to 687,564.53, 948,820.83 and 381,640.04 is: 526,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,564.53 : 948,820.83 = 381,640.04 : x
  2. Step 2: Convert to fraction form
    687,564.53/948,820.83 = 381,640.04/x
  3. Step 3: Cross multiply
    687,564.53x = 948,820.83 × 381,640.04
  4. Step 4: Simplify right side
    687,564.53x = 362,108,019,514.03
  5. Step 5: Solve for x
    x = 362,108,019,514.03/687,564.53
  6. Step 6: Final answer
    x = 526,653.14

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1.5x scale

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.