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Finding the Fourth Proportional to 442,559.76, 610,640.88 and 258,762.96

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Solution

The fourth proportional to 442,559.76, 610,640.88 and 258,762.96 is: 357,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,559.76 : 610,640.88 = 258,762.96 : x
  2. Step 2: Convert to fraction form
    442,559.76/610,640.88 = 258,762.96/x
  3. Step 3: Cross multiply
    442,559.76x = 610,640.88 × 258,762.96
  4. Step 4: Simplify right side
    442,559.76x = 158,011,241,605.81
  5. Step 5: Solve for x
    x = 158,011,241,605.81/442,559.76
  6. Step 6: Final answer
    x = 357,039.33

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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.