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Finding the Fourth Proportional to 346,511.20, 519,766.80 and 212,958.40

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Solution

The fourth proportional to 346,511.20, 519,766.80 and 212,958.40 is: 319,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,511.20 : 519,766.80 = 212,958.40 : x
  2. Step 2: Convert to fraction form
    346,511.20/519,766.80 = 212,958.40/x
  3. Step 3: Cross multiply
    346,511.20x = 519,766.80 × 212,958.40
  4. Step 4: Simplify right side
    346,511.20x = 110,688,706,101.12
  5. Step 5: Solve for x
    x = 110,688,706,101.12/346,511.20
  6. Step 6: Final answer
    x = 319,437.60

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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.