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Finding the Fourth Proportional to 505,148.71, 759,346.98 and 406,405.66

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Solution

The fourth proportional to 505,148.71, 759,346.98 and 406,405.66 is: 610,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,148.71 : 759,346.98 = 406,405.66 : x
  2. Step 2: Convert to fraction form
    505,148.71/759,346.98 = 406,405.66/x
  3. Step 3: Cross multiply
    505,148.71x = 759,346.98 × 406,405.66
  4. Step 4: Simplify right side
    505,148.71x = 308,602,910,575.91
  5. Step 5: Solve for x
    x = 308,602,910,575.91/505,148.71
  6. Step 6: Final answer
    x = 610,914.97

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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.