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Finding the Fourth Proportional to 268,602.60, 402,417.90 and 212,809.80

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Solution

The fourth proportional to 268,602.60, 402,417.90 and 212,809.80 is: 318,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,602.60 : 402,417.90 = 212,809.80 : x
  2. Step 2: Convert to fraction form
    268,602.60/402,417.90 = 212,809.80/x
  3. Step 3: Cross multiply
    268,602.60x = 402,417.90 × 212,809.80
  4. Step 4: Simplify right side
    268,602.60x = 85,638,472,815.42
  5. Step 5: Solve for x
    x = 85,638,472,815.42/268,602.60
  6. Step 6: Final answer
    x = 318,829.65

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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.