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Finding the Fourth Proportional to 493,000.75, 680,341.10 and 266,646.25

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Solution

The fourth proportional to 493,000.75, 680,341.10 and 266,646.25 is: 367,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,000.75 : 680,341.10 = 266,646.25 : x
  2. Step 2: Convert to fraction form
    493,000.75/680,341.10 = 266,646.25/x
  3. Step 3: Cross multiply
    493,000.75x = 680,341.10 × 266,646.25
  4. Step 4: Simplify right side
    493,000.75x = 181,410,403,035.88
  5. Step 5: Solve for x
    x = 181,410,403,035.88/493,000.75
  6. Step 6: Final answer
    x = 367,971.86

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1.5x scale

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.