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Finding the Fourth Proportional to 407,118.90, 610,678.35 and 365,784.60

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Solution

The fourth proportional to 407,118.90, 610,678.35 and 365,784.60 is: 548,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,118.90 : 610,678.35 = 365,784.60 : x
  2. Step 2: Convert to fraction form
    407,118.90/610,678.35 = 365,784.60/x
  3. Step 3: Cross multiply
    407,118.90x = 610,678.35 × 365,784.60
  4. Step 4: Simplify right side
    407,118.90x = 223,376,735,983.41
  5. Step 5: Solve for x
    x = 223,376,735,983.41/407,118.90
  6. Step 6: Final answer
    x = 548,676.90

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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.