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Finding the Fourth Proportional to 389,867.60, 584,801.40 and 202,854.80

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Solution

The fourth proportional to 389,867.60, 584,801.40 and 202,854.80 is: 304,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,867.60 : 584,801.40 = 202,854.80 : x
  2. Step 2: Convert to fraction form
    389,867.60/584,801.40 = 202,854.80/x
  3. Step 3: Cross multiply
    389,867.60x = 584,801.40 × 202,854.80
  4. Step 4: Simplify right side
    389,867.60x = 118,629,771,036.72
  5. Step 5: Solve for x
    x = 118,629,771,036.72/389,867.60
  6. Step 6: Final answer
    x = 304,282.20

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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.