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Finding the Fourth Proportional to 531,842.76, 734,068.98 and 305,619.48

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Solution

The fourth proportional to 531,842.76, 734,068.98 and 305,619.48 is: 421,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,842.76 : 734,068.98 = 305,619.48 : x
  2. Step 2: Convert to fraction form
    531,842.76/734,068.98 = 305,619.48/x
  3. Step 3: Cross multiply
    531,842.76x = 734,068.98 × 305,619.48
  4. Step 4: Simplify right side
    531,842.76x = 224,345,779,951.73
  5. Step 5: Solve for x
    x = 224,345,779,951.73/531,842.76
  6. Step 6: Final answer
    x = 421,827.27

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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.