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Finding the Fourth Proportional to 421,849.04, 581,441.64 and 319,840.88

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Solution

The fourth proportional to 421,849.04, 581,441.64 and 319,840.88 is: 440,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,849.04 : 581,441.64 = 319,840.88 : x
  2. Step 2: Convert to fraction form
    421,849.04/581,441.64 = 319,840.88/x
  3. Step 3: Cross multiply
    421,849.04x = 581,441.64 × 319,840.88
  4. Step 4: Simplify right side
    421,849.04x = 185,968,805,806.24
  5. Step 5: Solve for x
    x = 185,968,805,806.24/421,849.04
  6. Step 6: Final answer
    x = 440,842.07

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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.