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Finding the Fourth Proportional to 442,564, 610,784.40 and 272,793.76

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Solution

The fourth proportional to 442,564, 610,784.40 and 272,793.76 is: 376,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,564 : 610,784.40 = 272,793.76 : x
  2. Step 2: Convert to fraction form
    442,564/610,784.40 = 272,793.76/x
  3. Step 3: Cross multiply
    442,564x = 610,784.40 × 272,793.76
  4. Step 4: Simplify right side
    442,564x = 166,618,173,025.34
  5. Step 5: Solve for x
    x = 166,618,173,025.34/442,564
  6. Step 6: Final answer
    x = 376,483.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.