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Finding the Fourth Proportional to 421,999.47, 582,360.84 and 231,030.63

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Solution

The fourth proportional to 421,999.47, 582,360.84 and 231,030.63 is: 318,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,999.47 : 582,360.84 = 231,030.63 : x
  2. Step 2: Convert to fraction form
    421,999.47/582,360.84 = 231,030.63/x
  3. Step 3: Cross multiply
    421,999.47x = 582,360.84 × 231,030.63
  4. Step 4: Simplify right side
    421,999.47x = 134,543,191,752.53
  5. Step 5: Solve for x
    x = 134,543,191,752.53/421,999.47
  6. Step 6: Final answer
    x = 318,823.13

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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.