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Finding the Fourth Proportional to 321,875.60, 482,813.40 and 202,902.80

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Solution

The fourth proportional to 321,875.60, 482,813.40 and 202,902.80 is: 304,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,875.60 : 482,813.40 = 202,902.80 : x
  2. Step 2: Convert to fraction form
    321,875.60/482,813.40 = 202,902.80/x
  3. Step 3: Cross multiply
    321,875.60x = 482,813.40 × 202,902.80
  4. Step 4: Simplify right side
    321,875.60x = 97,964,190,737.52
  5. Step 5: Solve for x
    x = 97,964,190,737.52/321,875.60
  6. Step 6: Final answer
    x = 304,354.20

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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.