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Finding the Fourth Proportional to 493,011.72, 680,354.82 and 266,656.68

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Solution

The fourth proportional to 493,011.72, 680,354.82 and 266,656.68 is: 367,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,011.72 : 680,354.82 = 266,656.68 : x
  2. Step 2: Convert to fraction form
    493,011.72/680,354.82 = 266,656.68/x
  3. Step 3: Cross multiply
    493,011.72x = 680,354.82 × 266,656.68
  4. Step 4: Simplify right side
    493,011.72x = 181,421,157,523.20
  5. Step 5: Solve for x
    x = 181,421,157,523.20/493,011.72
  6. Step 6: Final answer
    x = 367,985.49

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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.