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Finding the Fourth Proportional to 389,898.60, 584,847.90 and 202,885.80

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Solution

The fourth proportional to 389,898.60, 584,847.90 and 202,885.80 is: 304,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,898.60 : 584,847.90 = 202,885.80 : x
  2. Step 2: Convert to fraction form
    389,898.60/584,847.90 = 202,885.80/x
  3. Step 3: Cross multiply
    389,898.60x = 584,847.90 × 202,885.80
  4. Step 4: Simplify right side
    389,898.60x = 118,657,334,069.82
  5. Step 5: Solve for x
    x = 118,657,334,069.82/389,898.60
  6. Step 6: Final answer
    x = 304,328.70

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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.