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Finding the Fourth Proportional to 507,666.31, 761,302.64 and 270,879.83

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Solution

The fourth proportional to 507,666.31, 761,302.64 and 270,879.83 is: 406,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,666.31 : 761,302.64 = 270,879.83 : x
  2. Step 2: Convert to fraction form
    507,666.31/761,302.64 = 270,879.83/x
  3. Step 3: Cross multiply
    507,666.31x = 761,302.64 × 270,879.83
  4. Step 4: Simplify right side
    507,666.31x = 206,221,528,347.35
  5. Step 5: Solve for x
    x = 206,221,528,347.35/507,666.31
  6. Step 6: Final answer
    x = 406,214.72

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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.