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Finding the Fourth Proportional to 509,475.50, 702,335.19 and 356,037.31

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Solution

The fourth proportional to 509,475.50, 702,335.19 and 356,037.31 is: 490,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,475.50 : 702,335.19 = 356,037.31 : x
  2. Step 2: Convert to fraction form
    509,475.50/702,335.19 = 356,037.31/x
  3. Step 3: Cross multiply
    509,475.50x = 702,335.19 × 356,037.31
  4. Step 4: Simplify right side
    509,475.50x = 250,057,531,765.94
  5. Step 5: Solve for x
    x = 250,057,531,765.94/509,475.50
  6. Step 6: Final answer
    x = 490,813.65

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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.