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Finding the Fourth Proportional to 686,590.64, 947,593.16 and 380,735.04

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Solution

The fourth proportional to 686,590.64, 947,593.16 and 380,735.04 is: 525,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,590.64 : 947,593.16 = 380,735.04 : x
  2. Step 2: Convert to fraction form
    686,590.64/947,593.16 = 380,735.04/x
  3. Step 3: Cross multiply
    686,590.64x = 947,593.16 × 380,735.04
  4. Step 4: Simplify right side
    686,590.64x = 360,781,919,676.33
  5. Step 5: Solve for x
    x = 360,781,919,676.33/686,590.64
  6. Step 6: Final answer
    x = 525,468.74

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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.