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Finding the Fourth Proportional to 389,643.60, 584,465.40 and 200,686.80

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Solution

The fourth proportional to 389,643.60, 584,465.40 and 200,686.80 is: 301,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,643.60 : 584,465.40 = 200,686.80 : x
  2. Step 2: Convert to fraction form
    389,643.60/584,465.40 = 200,686.80/x
  3. Step 3: Cross multiply
    389,643.60x = 584,465.40 × 200,686.80
  4. Step 4: Simplify right side
    389,643.60x = 117,294,490,836.72
  5. Step 5: Solve for x
    x = 117,294,490,836.72/389,643.60
  6. Step 6: Final answer
    x = 301,030.20

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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.