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Finding the Fourth Proportional to 411,026.80, 616,540.20 and 211,068.40

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Solution

The fourth proportional to 411,026.80, 616,540.20 and 211,068.40 is: 316,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,026.80 : 616,540.20 = 211,068.40 : x
  2. Step 2: Convert to fraction form
    411,026.80/616,540.20 = 211,068.40/x
  3. Step 3: Cross multiply
    411,026.80x = 616,540.20 × 211,068.40
  4. Step 4: Simplify right side
    411,026.80x = 130,132,153,549.68
  5. Step 5: Solve for x
    x = 130,132,153,549.68/411,026.80
  6. Step 6: Final answer
    x = 316,602.60

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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.