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Finding the Fourth Proportional to 389,966.40, 585,640.80 and 301,435.20

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Solution

The fourth proportional to 389,966.40, 585,640.80 and 301,435.20 is: 452,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,966.40 : 585,640.80 = 301,435.20 : x
  2. Step 2: Convert to fraction form
    389,966.40/585,640.80 = 301,435.20/x
  3. Step 3: Cross multiply
    389,966.40x = 585,640.80 × 301,435.20
  4. Step 4: Simplify right side
    389,966.40x = 176,532,751,676.16
  5. Step 5: Solve for x
    x = 176,532,751,676.16/389,966.40
  6. Step 6: Final answer
    x = 452,687.08

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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.