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Finding the Fourth Proportional to 409,256.40, 613,884.60 and 390,885.60

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Solution

The fourth proportional to 409,256.40, 613,884.60 and 390,885.60 is: 586,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,256.40 : 613,884.60 = 390,885.60 : x
  2. Step 2: Convert to fraction form
    409,256.40/613,884.60 = 390,885.60/x
  3. Step 3: Cross multiply
    409,256.40x = 613,884.60 × 390,885.60
  4. Step 4: Simplify right side
    409,256.40x = 239,958,650,201.76
  5. Step 5: Solve for x
    x = 239,958,650,201.76/409,256.40
  6. Step 6: Final answer
    x = 586,328.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.