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Finding the Fourth Proportional to 421,670.16, 581,558.40 and 300,772.80

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Solution

The fourth proportional to 421,670.16, 581,558.40 and 300,772.80 is: 414,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,670.16 : 581,558.40 = 300,772.80 : x
  2. Step 2: Convert to fraction form
    421,670.16/581,558.40 = 300,772.80/x
  3. Step 3: Cross multiply
    421,670.16x = 581,558.40 × 300,772.80
  4. Step 4: Simplify right side
    421,670.16x = 174,916,948,331.52
  5. Step 5: Solve for x
    x = 174,916,948,331.52/421,670.16
  6. Step 6: Final answer
    x = 414,819.37

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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.