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Finding the Fourth Proportional to 411,298.60, 616,991.70 and 130,750.24

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Solution

The fourth proportional to 411,298.60, 616,991.70 and 130,750.24 is: 196,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,298.60 : 616,991.70 = 130,750.24 : x
  2. Step 2: Convert to fraction form
    411,298.60/616,991.70 = 130,750.24/x
  3. Step 3: Cross multiply
    411,298.60x = 616,991.70 × 130,750.24
  4. Step 4: Simplify right side
    411,298.60x = 80,671,812,853.01
  5. Step 5: Solve for x
    x = 80,671,812,853.01/411,298.60
  6. Step 6: Final answer
    x = 196,139.28

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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.