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Finding the Fourth Proportional to 409,265.40, 613,898.10 and 128,746.20

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Solution

The fourth proportional to 409,265.40, 613,898.10 and 128,746.20 is: 193,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,265.40 : 613,898.10 = 128,746.20 : x
  2. Step 2: Convert to fraction form
    409,265.40/613,898.10 = 128,746.20/x
  3. Step 3: Cross multiply
    409,265.40x = 613,898.10 × 128,746.20
  4. Step 4: Simplify right side
    409,265.40x = 79,037,047,562.22
  5. Step 5: Solve for x
    x = 79,037,047,562.22/409,265.40
  6. Step 6: Final answer
    x = 193,119.30

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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.