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Finding the Fourth Proportional to 411,258.40, 616,426.80 and 211,501.60

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Solution

The fourth proportional to 411,258.40, 616,426.80 and 211,501.60 is: 317,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,258.40 : 616,426.80 = 211,501.60 : x
  2. Step 2: Convert to fraction form
    411,258.40/616,426.80 = 211,501.60/x
  3. Step 3: Cross multiply
    411,258.40x = 616,426.80 × 211,501.60
  4. Step 4: Simplify right side
    411,258.40x = 130,375,254,482.88
  5. Step 5: Solve for x
    x = 130,375,254,482.88/411,258.40
  6. Step 6: Final answer
    x = 317,015.42

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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.