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Finding the Fourth Proportional to 435,335.40, 653,003.10 and 409,091.40

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Solution

The fourth proportional to 435,335.40, 653,003.10 and 409,091.40 is: 613,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,335.40 : 653,003.10 = 409,091.40 : x
  2. Step 2: Convert to fraction form
    435,335.40/653,003.10 = 409,091.40/x
  3. Step 3: Cross multiply
    435,335.40x = 653,003.10 × 409,091.40
  4. Step 4: Simplify right side
    435,335.40x = 267,137,952,383.34
  5. Step 5: Solve for x
    x = 267,137,952,383.34/435,335.40
  6. Step 6: Final answer
    x = 613,637.10

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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.