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Finding the Fourth Proportional to 421,804.12, 582,101.12 and 258,457.80

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Solution

The fourth proportional to 421,804.12, 582,101.12 and 258,457.80 is: 356,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,804.12 : 582,101.12 = 258,457.80 : x
  2. Step 2: Convert to fraction form
    421,804.12/582,101.12 = 258,457.80/x
  3. Step 3: Cross multiply
    421,804.12x = 582,101.12 × 258,457.80
  4. Step 4: Simplify right side
    421,804.12x = 150,448,574,852.74
  5. Step 5: Solve for x
    x = 150,448,574,852.74/421,804.12
  6. Step 6: Final answer
    x = 356,678.77

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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.