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Finding the Fourth Proportional to 261,427.20, 392,529.60 and 202,329.60

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Solution

The fourth proportional to 261,427.20, 392,529.60 and 202,329.60 is: 303,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,427.20 : 392,529.60 = 202,329.60 : x
  2. Step 2: Convert to fraction form
    261,427.20/392,529.60 = 202,329.60/x
  3. Step 3: Cross multiply
    261,427.20x = 392,529.60 × 202,329.60
  4. Step 4: Simplify right side
    261,427.20x = 79,420,356,956.16
  5. Step 5: Solve for x
    x = 79,420,356,956.16/261,427.20
  6. Step 6: Final answer
    x = 303,795.31

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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.