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Finding the Fourth Proportional to 409,207.20, 613,810.80 and 128,810.40

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Solution

The fourth proportional to 409,207.20, 613,810.80 and 128,810.40 is: 193,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,207.20 : 613,810.80 = 128,810.40 : x
  2. Step 2: Convert to fraction form
    409,207.20/613,810.80 = 128,810.40/x
  3. Step 3: Cross multiply
    409,207.20x = 613,810.80 × 128,810.40
  4. Step 4: Simplify right side
    409,207.20x = 79,065,214,672.32
  5. Step 5: Solve for x
    x = 79,065,214,672.32/409,207.20
  6. Step 6: Final answer
    x = 193,215.60

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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.