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Finding the Fourth Proportional to 521,970.84, 782,396.55 and 341,988.30

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Solution

The fourth proportional to 521,970.84, 782,396.55 and 341,988.30 is: 512,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,970.84 : 782,396.55 = 341,988.30 : x
  2. Step 2: Convert to fraction form
    521,970.84/782,396.55 = 341,988.30/x
  3. Step 3: Cross multiply
    521,970.84x = 782,396.55 × 341,988.30
  4. Step 4: Simplify right side
    521,970.84x = 267,570,466,060.37
  5. Step 5: Solve for x
    x = 267,570,466,060.37/521,970.84
  6. Step 6: Final answer
    x = 512,615.74

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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.