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Finding the Fourth Proportional to 581,047.60, 869,696.50 and 300,178.48

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Solution

The fourth proportional to 581,047.60, 869,696.50 and 300,178.48 is: 449,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,047.60 : 869,696.50 = 300,178.48 : x
  2. Step 2: Convert to fraction form
    581,047.60/869,696.50 = 300,178.48/x
  3. Step 3: Cross multiply
    581,047.60x = 869,696.50 × 300,178.48
  4. Step 4: Simplify right side
    581,047.60x = 261,064,173,431.32
  5. Step 5: Solve for x
    x = 261,064,173,431.32/581,047.60
  6. Step 6: Final answer
    x = 449,299.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.